What is the Greatest Common Factor of 64428 and 64442?

Greatest common factor (GCF) of 64428 and 64442 is 14.

GCF(64428,64442) = 14

We will now calculate the prime factors of 64428 and 64442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64428 and 64442.

How to find the GCF of 64428 and 64442?

We will first find the prime factorization of 64428 and 64442. After we will calculate the factors of 64428 and 64442 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 64442

Prime factors of 64442 are 2, 7, 4603. Prime factorization of 64442 in exponential form is:

64442 = 2¹ × 7¹ × 4603¹

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 64442

List of positive integer factors of 64442 that divides 64428 without a remainder.

1, 2, 7, 14, 4603, 9206, 32221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64428 and 64442. The biggest common factor number is the GCF number.
So the greatest common factor 64428 and 64442 is 14.

Also check out the Least Common Multiple of 64428 and 64442