What is the Greatest Common Factor of 8415 and 8420?
Greatest common factor (GCF) of 8415 and 8420 is 5.
GCF(8415,8420) = 5
We will now calculate the prime factors of 8415 and 8420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8415 and 8420.
How to find the GCF of 8415 and 8420?
We will first find the prime factorization of 8415 and 8420. After we will calculate the factors of 8415 and 8420 and find the biggest common factor number .
Step-1: Prime Factorization of 8415
Prime factors of 8415 are 3, 5, 11, 17. Prime factorization of 8415 in exponential form is:
8415 = 32 × 51 × 111 × 171
Step-2: Prime Factorization of 8420
Prime factors of 8420 are 2, 5, 421. Prime factorization of 8420 in exponential form is:
8420 = 22 × 51 × 4211
Step-3: Factors of 8415
List of positive integer factors of 8415 that divides 8415 without a remainder.
1, 3, 5, 9, 11, 15, 17, 33, 45, 51, 55, 85, 99, 153, 165, 187, 255, 495, 561, 765, 935, 1683, 2805
Step-4: Factors of 8420
List of positive integer factors of 8420 that divides 8415 without a remainder.
1, 2, 4, 5, 10, 20, 421, 842, 1684, 2105, 4210
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8415 and 8420. The biggest common factor number is the GCF number.
So the greatest common factor 8415 and 8420 is 5.
Also check out the Least Common Multiple of 8415 and 8420
Related Greatest Common Factors of 8415
- GCF of 8415 and 8419
- GCF of 8415 and 8420
- GCF of 8415 and 8421
- GCF of 8415 and 8422
- GCF of 8415 and 8423
- GCF of 8415 and 8424
- GCF of 8415 and 8425
- GCF of 8415 and 8426
- GCF of 8415 and 8427
- GCF of 8415 and 8428
- GCF of 8415 and 8429
- GCF of 8415 and 8430
- GCF of 8415 and 8431
- GCF of 8415 and 8432
- GCF of 8415 and 8433
- GCF of 8415 and 8434
- GCF of 8415 and 8435
Related Greatest Common Factors of 8420
- GCF of 8420 and 8424
- GCF of 8420 and 8425
- GCF of 8420 and 8426
- GCF of 8420 and 8427
- GCF of 8420 and 8428
- GCF of 8420 and 8429
- GCF of 8420 and 8430
- GCF of 8420 and 8431
- GCF of 8420 and 8432
- GCF of 8420 and 8433
- GCF of 8420 and 8434
- GCF of 8420 and 8435
- GCF of 8420 and 8436
- GCF of 8420 and 8437
- GCF of 8420 and 8438
- GCF of 8420 and 8439
- GCF of 8420 and 8440