What is the Greatest Common Factor of 34797 and 34812?

Greatest common factor (GCF) of 34797 and 34812 is 3.

GCF(34797,34812) = 3

We will now calculate the prime factors of 34797 and 34812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34797 and 34812.

How to find the GCF of 34797 and 34812?

We will first find the prime factorization of 34797 and 34812. After we will calculate the factors of 34797 and 34812 and find the biggest common factor number .

Step-1: Prime Factorization of 34797

Prime factors of 34797 are 3, 7, 1657. Prime factorization of 34797 in exponential form is:

34797 = 3¹ × 7¹ × 1657¹

Step-2: Prime Factorization of 34812

Prime factors of 34812 are 2, 3, 967. Prime factorization of 34812 in exponential form is:

34812 = 2² × 3² × 967¹

Step-3: Factors of 34797

List of positive integer factors of 34797 that divides 34797 without a remainder.

1, 3, 7, 21, 1657, 4971, 11599

Step-4: Factors of 34812

List of positive integer factors of 34812 that divides 34797 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 967, 1934, 2901, 3868, 5802, 8703, 11604, 17406

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34797 and 34812. The biggest common factor number is the GCF number.
So the greatest common factor 34797 and 34812 is 3.

Also check out the Least Common Multiple of 34797 and 34812