What is the Greatest Common Factor of 64415 and 64428?

Greatest common factor (GCF) of 64415 and 64428 is 13.

GCF(64415,64428) = 13

We will now calculate the prime factors of 64415 and 64428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64415 and 64428.

How to find the GCF of 64415 and 64428?

We will first find the prime factorization of 64415 and 64428. After we will calculate the factors of 64415 and 64428 and find the biggest common factor number .

Step-1: Prime Factorization of 64415

Prime factors of 64415 are 5, 13, 991. Prime factorization of 64415 in exponential form is:

64415 = 5¹ × 13¹ × 991¹

Step-2: Prime Factorization of 64428

Prime factors of 64428 are 2, 3, 7, 13, 59. Prime factorization of 64428 in exponential form is:

64428 = 2² × 3¹ × 7¹ × 13¹ × 59¹

Step-3: Factors of 64415

List of positive integer factors of 64415 that divides 64415 without a remainder.

1, 5, 13, 65, 991, 4955, 12883

Step-4: Factors of 64428

List of positive integer factors of 64428 that divides 64415 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 59, 78, 84, 91, 118, 156, 177, 182, 236, 273, 354, 364, 413, 546, 708, 767, 826, 1092, 1239, 1534, 1652, 2301, 2478, 3068, 4602, 4956, 5369, 9204, 10738, 16107, 21476, 32214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64415 and 64428. The biggest common factor number is the GCF number.
So the greatest common factor 64415 and 64428 is 13.

Also check out the Least Common Multiple of 64415 and 64428