What is the Greatest Common Factor of 34956 and 34971?

Greatest common factor (GCF) of 34956 and 34971 is 3.

GCF(34956,34971) = 3

We will now calculate the prime factors of 34956 and 34971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34956 and 34971.

How to find the GCF of 34956 and 34971?

We will first find the prime factorization of 34956 and 34971. After we will calculate the factors of 34956 and 34971 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 34971

Prime factors of 34971 are 3, 11657. Prime factorization of 34971 in exponential form is:

34971 = 3¹ × 11657¹

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 34971

List of positive integer factors of 34971 that divides 34956 without a remainder.

1, 3, 11657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34956 and 34971. The biggest common factor number is the GCF number.
So the greatest common factor 34956 and 34971 is 3.

Also check out the Least Common Multiple of 34956 and 34971