What is the Greatest Common Factor of 34954 and 34968?

Greatest common factor (GCF) of 34954 and 34968 is 2.

GCF(34954,34968) = 2

We will now calculate the prime factors of 34954 and 34968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34954 and 34968.

How to find the GCF of 34954 and 34968?

We will first find the prime factorization of 34954 and 34968. After we will calculate the factors of 34954 and 34968 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 34968

Prime factors of 34968 are 2, 3, 31, 47. Prime factorization of 34968 in exponential form is:

34968 = 2³ × 3¹ × 31¹ × 47¹

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 34968

List of positive integer factors of 34968 that divides 34954 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 47, 62, 93, 94, 124, 141, 186, 188, 248, 282, 372, 376, 564, 744, 1128, 1457, 2914, 4371, 5828, 8742, 11656, 17484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34954 and 34968. The biggest common factor number is the GCF number.
So the greatest common factor 34954 and 34968 is 2.

Also check out the Least Common Multiple of 34954 and 34968