What is the Greatest Common Factor of 64416 and 64431?

Greatest common factor (GCF) of 64416 and 64431 is 3.

GCF(64416,64431) = 3

We will now calculate the prime factors of 64416 and 64431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64416 and 64431.

How to find the GCF of 64416 and 64431?

We will first find the prime factorization of 64416 and 64431. After we will calculate the factors of 64416 and 64431 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 64431

Prime factors of 64431 are 3, 7159. Prime factorization of 64431 in exponential form is:

64431 = 3² × 7159¹

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 64431

List of positive integer factors of 64431 that divides 64416 without a remainder.

1, 3, 9, 7159, 21477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64416 and 64431. The biggest common factor number is the GCF number.
So the greatest common factor 64416 and 64431 is 3.

Also check out the Least Common Multiple of 64416 and 64431