What is the Greatest Common Factor of 34954 and 34964?

Greatest common factor (GCF) of 34954 and 34964 is 2.

GCF(34954,34964) = 2

We will now calculate the prime factors of 34954 and 34964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34954 and 34964.

How to find the GCF of 34954 and 34964?

We will first find the prime factorization of 34954 and 34964. After we will calculate the factors of 34954 and 34964 and find the biggest common factor number .

Step-1: Prime Factorization of 34954

Prime factors of 34954 are 2, 17477. Prime factorization of 34954 in exponential form is:

34954 = 2¹ × 17477¹

Step-2: Prime Factorization of 34964

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

34964 = 2² × 8741¹

Step-3: Factors of 34954

List of positive integer factors of 34954 that divides 34954 without a remainder.

1, 2, 17477

Step-4: Factors of 34964

List of positive integer factors of 34964 that divides 34954 without a remainder.

1, 2, 4, 8741, 17482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34954 and 34964. The biggest common factor number is the GCF number.
So the greatest common factor 34954 and 34964 is 2.

Also check out the Least Common Multiple of 34954 and 34964