What is the Greatest Common Factor of 64911 and 64918?

Greatest common factor (GCF) of 64911 and 64918 is 7.

GCF(64911,64918) = 7

We will now calculate the prime factors of 64911 and 64918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64911 and 64918.

How to find the GCF of 64911 and 64918?

We will first find the prime factorization of 64911 and 64918. After we will calculate the factors of 64911 and 64918 and find the biggest common factor number .

Step-1: Prime Factorization of 64911

Prime factors of 64911 are 3, 7, 11, 281. Prime factorization of 64911 in exponential form is:

64911 = 3¹ × 7¹ × 11¹ × 281¹

Step-2: Prime Factorization of 64918

Prime factors of 64918 are 2, 7, 4637. Prime factorization of 64918 in exponential form is:

64918 = 2¹ × 7¹ × 4637¹

Step-3: Factors of 64911

List of positive integer factors of 64911 that divides 64911 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 281, 843, 1967, 3091, 5901, 9273, 21637

Step-4: Factors of 64918

List of positive integer factors of 64918 that divides 64911 without a remainder.

1, 2, 7, 14, 4637, 9274, 32459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64911 and 64918. The biggest common factor number is the GCF number.
So the greatest common factor 64911 and 64918 is 7.

Also check out the Least Common Multiple of 64911 and 64918