What is the Greatest Common Factor of 69612 and 69627?

Greatest common factor (GCF) of 69612 and 69627 is 3.

GCF(69612,69627) = 3

We will now calculate the prime factors of 69612 and 69627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69612 and 69627.

How to find the GCF of 69612 and 69627?

We will first find the prime factorization of 69612 and 69627. After we will calculate the factors of 69612 and 69627 and find the biggest common factor number .

Step-1: Prime Factorization of 69612

Prime factors of 69612 are 2, 3, 5801. Prime factorization of 69612 in exponential form is:

69612 = 2² × 3¹ × 5801¹

Step-2: Prime Factorization of 69627

Prime factors of 69627 are 3, 23209. Prime factorization of 69627 in exponential form is:

69627 = 3¹ × 23209¹

Step-3: Factors of 69612

List of positive integer factors of 69612 that divides 69612 without a remainder.

1, 2, 3, 4, 6, 12, 5801, 11602, 17403, 23204, 34806

Step-4: Factors of 69627

List of positive integer factors of 69627 that divides 69612 without a remainder.

1, 3, 23209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69612 and 69627. The biggest common factor number is the GCF number.
So the greatest common factor 69612 and 69627 is 3.

Also check out the Least Common Multiple of 69612 and 69627