GCF and LCM Calculator Logo

What is the Greatest Common Factor of 34964 and 34977?

Greatest common factor (GCF) of 34964 and 34977 is 1.

GCF(34964,34977) = 1

We will now calculate the prime factors of 34964 and 34977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34964 and 34977.

GCF Calculator and
and

How to find the GCF of 34964 and 34977?

We will first find the prime factorization of 34964 and 34977. After we will calculate the factors of 34964 and 34977 and find the biggest common factor number .

Step-1: Prime Factorization of 34964

Prime factors of 34964 are 2, 8741. Prime factorization of 34964 in exponential form is:

34964 = 22 × 87411

Step-2: Prime Factorization of 34977

Prime factors of 34977 are 3, 89, 131. Prime factorization of 34977 in exponential form is:

34977 = 31 × 891 × 1311

Step-3: Factors of 34964

List of positive integer factors of 34964 that divides 34964 without a remainder.

1, 2, 4, 8741, 17482

Step-4: Factors of 34977

List of positive integer factors of 34977 that divides 34964 without a remainder.

1, 3, 89, 131, 267, 393, 11659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34964 and 34977. The biggest common factor number is the GCF number.
So the greatest common factor 34964 and 34977 is 1.

Also check out the Least Common Multiple of 34964 and 34977