What is the Greatest Common Factor of 64416 and 64428?

Greatest common factor (GCF) of 64416 and 64428 is 12.

GCF(64416,64428) = 12

We will now calculate the prime factors of 64416 and 64428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64416 and 64428.

How to find the GCF of 64416 and 64428?

We will first find the prime factorization of 64416 and 64428. After we will calculate the factors of 64416 and 64428 and find the biggest common factor number .

Step-1: Prime Factorization of 64416

Prime factors of 64416 are 2, 3, 11, 61. Prime factorization of 64416 in exponential form is:

64416 = 2⁵ × 3¹ × 11¹ × 61¹

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 64416

List of positive integer factors of 64416 that divides 64416 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 61, 66, 88, 96, 122, 132, 176, 183, 244, 264, 352, 366, 488, 528, 671, 732, 976, 1056, 1342, 1464, 1952, 2013, 2684, 2928, 4026, 5368, 5856, 8052, 10736, 16104, 21472, 32208

Step-4: Factors of 64428

List of positive integer factors of 64428 that divides 64416 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 64416 and 64428. The biggest common factor number is the GCF number.
So the greatest common factor 64416 and 64428 is 12.

Also check out the Least Common Multiple of 64416 and 64428