What is the Greatest Common Factor of 64956 and 64967?

Greatest common factor (GCF) of 64956 and 64967 is 1.

GCF(64956,64967) = 1

We will now calculate the prime factors of 64956 and 64967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64956 and 64967.

How to find the GCF of 64956 and 64967?

We will first find the prime factorization of 64956 and 64967. After we will calculate the factors of 64956 and 64967 and find the biggest common factor number .

Step-1: Prime Factorization of 64956

Prime factors of 64956 are 2, 3, 5413. Prime factorization of 64956 in exponential form is:

64956 = 2² × 3¹ × 5413¹

Step-2: Prime Factorization of 64967

Prime factors of 64967 are 7, 9281. Prime factorization of 64967 in exponential form is:

64967 = 7¹ × 9281¹

Step-3: Factors of 64956

List of positive integer factors of 64956 that divides 64956 without a remainder.

1, 2, 3, 4, 6, 12, 5413, 10826, 16239, 21652, 32478

Step-4: Factors of 64967

List of positive integer factors of 64967 that divides 64956 without a remainder.

1, 7, 9281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64956 and 64967. The biggest common factor number is the GCF number.
So the greatest common factor 64956 and 64967 is 1.

Also check out the Least Common Multiple of 64956 and 64967