What is the Greatest Common Factor of 34954 and 34962?

Greatest common factor (GCF) of 34954 and 34962 is 2.

GCF(34954,34962) = 2

We will now calculate the prime factors of 34954 and 34962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34954 and 34962.

How to find the GCF of 34954 and 34962?

We will first find the prime factorization of 34954 and 34962. After we will calculate the factors of 34954 and 34962 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 34962

Prime factors of 34962 are 2, 3, 5827. Prime factorization of 34962 in exponential form is:

34962 = 2¹ × 3¹ × 5827¹

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 34962

List of positive integer factors of 34962 that divides 34954 without a remainder.

1, 2, 3, 6, 5827, 11654, 17481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34954 and 34962. The biggest common factor number is the GCF number.
So the greatest common factor 34954 and 34962 is 2.

Also check out the Least Common Multiple of 34954 and 34962