What is the Greatest Common Factor of 34956 and 34968?

Greatest common factor (GCF) of 34956 and 34968 is 12.

GCF(34956,34968) = 12

We will now calculate the prime factors of 34956 and 34968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34956 and 34968.

How to find the GCF of 34956 and 34968?

We will first find the prime factorization of 34956 and 34968. After we will calculate the factors of 34956 and 34968 and find the biggest common factor number .

Step-1: Prime Factorization of 34956

Prime factors of 34956 are 2, 3, 971. Prime factorization of 34956 in exponential form is:

34956 = 2² × 3² × 971¹

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 34956

List of positive integer factors of 34956 that divides 34956 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 971, 1942, 2913, 3884, 5826, 8739, 11652, 17478

Step-4: Factors of 34968

List of positive integer factors of 34968 that divides 34956 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 34956 and 34968. The biggest common factor number is the GCF number.
So the greatest common factor 34956 and 34968 is 12.

Also check out the Least Common Multiple of 34956 and 34968