What is the Greatest Common Factor of 77400 and 77416?
Greatest common factor (GCF) of 77400 and 77416 is 8.
GCF(77400,77416) = 8
We will now calculate the prime factors of 77400 and 77416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77400 and 77416.
How to find the GCF of 77400 and 77416?
We will first find the prime factorization of 77400 and 77416. After we will calculate the factors of 77400 and 77416 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 77416
Prime factors of 77416 are 2, 9677. Prime factorization of 77416 in exponential form is:
77416 = 23 × 96771
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 77416
List of positive integer factors of 77416 that divides 77400 without a remainder.
1, 2, 4, 8, 9677, 19354, 38708
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77400 and 77416. The biggest common factor number is the GCF number.
So the greatest common factor 77400 and 77416 is 8.
Also check out the Least Common Multiple of 77400 and 77416
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