What is the Greatest Common Factor of 77400 and 77420?
Greatest common factor (GCF) of 77400 and 77420 is 20.
GCF(77400,77420) = 20
We will now calculate the prime factors of 77400 and 77420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77400 and 77420.
How to find the GCF of 77400 and 77420?
We will first find the prime factorization of 77400 and 77420. After we will calculate the factors of 77400 and 77420 and find the biggest common factor number .
Step-1: Prime Factorization of 77400
Prime factors of 77400 are 2, 3, 5, 43. Prime factorization of 77400 in exponential form is:
77400 = 23 × 32 × 52 × 431
Step-2: Prime Factorization of 77420
Prime factors of 77420 are 2, 5, 7, 79. Prime factorization of 77420 in exponential form is:
77420 = 22 × 51 × 72 × 791
Step-3: Factors of 77400
List of positive integer factors of 77400 that divides 77400 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 43, 45, 50, 60, 72, 75, 86, 90, 100, 120, 129, 150, 172, 180, 200, 215, 225, 258, 300, 344, 360, 387, 430, 450, 516, 600, 645, 774, 860, 900, 1032, 1075, 1290, 1548, 1720, 1800, 1935, 2150, 2580, 3096, 3225, 3870, 4300, 5160, 6450, 7740, 8600, 9675, 12900, 15480, 19350, 25800, 38700
Step-4: Factors of 77420
List of positive integer factors of 77420 that divides 77400 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 79, 98, 140, 158, 196, 245, 316, 395, 490, 553, 790, 980, 1106, 1580, 2212, 2765, 3871, 5530, 7742, 11060, 15484, 19355, 38710
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77400 and 77420. The biggest common factor number is the GCF number.
So the greatest common factor 77400 and 77420 is 20.
Also check out the Least Common Multiple of 77400 and 77420
Related Greatest Common Factors of 77400
- GCF of 77400 and 77404
- GCF of 77400 and 77405
- GCF of 77400 and 77406
- GCF of 77400 and 77407
- GCF of 77400 and 77408
- GCF of 77400 and 77409
- GCF of 77400 and 77410
- GCF of 77400 and 77411
- GCF of 77400 and 77412
- GCF of 77400 and 77413
- GCF of 77400 and 77414
- GCF of 77400 and 77415
- GCF of 77400 and 77416
- GCF of 77400 and 77417
- GCF of 77400 and 77418
- GCF of 77400 and 77419
- GCF of 77400 and 77420
Related Greatest Common Factors of 77420
- GCF of 77420 and 77424
- GCF of 77420 and 77425
- GCF of 77420 and 77426
- GCF of 77420 and 77427
- GCF of 77420 and 77428
- GCF of 77420 and 77429
- GCF of 77420 and 77430
- GCF of 77420 and 77431
- GCF of 77420 and 77432
- GCF of 77420 and 77433
- GCF of 77420 and 77434
- GCF of 77420 and 77435
- GCF of 77420 and 77436
- GCF of 77420 and 77437
- GCF of 77420 and 77438
- GCF of 77420 and 77439
- GCF of 77420 and 77440