What is the Greatest Common Factor of 64416 and 64427?

Greatest common factor (GCF) of 64416 and 64427 is 11.

GCF(64416,64427) = 11

We will now calculate the prime factors of 64416 and 64427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64416 and 64427.

How to find the GCF of 64416 and 64427?

We will first find the prime factorization of 64416 and 64427. After we will calculate the factors of 64416 and 64427 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 64427

Prime factors of 64427 are 11, 5857. Prime factorization of 64427 in exponential form is:

64427 = 11¹ × 5857¹

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 64427

List of positive integer factors of 64427 that divides 64416 without a remainder.

1, 11, 5857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64416 and 64427. The biggest common factor number is the GCF number.
So the greatest common factor 64416 and 64427 is 11.

Also check out the Least Common Multiple of 64416 and 64427