What is the Greatest Common Factor of 64428 and 64441?

Greatest common factor (GCF) of 64428 and 64441 is 13.

GCF(64428,64441) = 13

We will now calculate the prime factors of 64428 and 64441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64428 and 64441.

How to find the GCF of 64428 and 64441?

We will first find the prime factorization of 64428 and 64441. After we will calculate the factors of 64428 and 64441 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64441

Prime factors of 64441 are 13, 4957. Prime factorization of 64441 in exponential form is:

64441 = 13¹ × 4957¹

Step-3: Factors of 64428

List of positive integer factors of 64428 that divides 64428 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

Step-4: Factors of 64441

List of positive integer factors of 64441 that divides 64428 without a remainder.

1, 13, 4957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64428 and 64441. The biggest common factor number is the GCF number.
So the greatest common factor 64428 and 64441 is 13.

Also check out the Least Common Multiple of 64428 and 64441