What is the Greatest Common Factor of 64416 and 64432?

Greatest common factor (GCF) of 64416 and 64432 is 16.

GCF(64416,64432) = 16

We will now calculate the prime factors of 64416 and 64432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64416 and 64432.

How to find the GCF of 64416 and 64432?

We will first find the prime factorization of 64416 and 64432. After we will calculate the factors of 64416 and 64432 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 64432

Prime factors of 64432 are 2, 4027. Prime factorization of 64432 in exponential form is:

64432 = 2⁴ × 4027¹

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 64432

List of positive integer factors of 64432 that divides 64416 without a remainder.

1, 2, 4, 8, 16, 4027, 8054, 16108, 32216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64416 and 64432. The biggest common factor number is the GCF number.
So the greatest common factor 64416 and 64432 is 16.

Also check out the Least Common Multiple of 64416 and 64432