What is the Greatest Common Factor of 69612 and 69630?

Greatest common factor (GCF) of 69612 and 69630 is 6.

GCF(69612,69630) = 6

We will now calculate the prime factors of 69612 and 69630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69612 and 69630.

How to find the GCF of 69612 and 69630?

We will first find the prime factorization of 69612 and 69630. After we will calculate the factors of 69612 and 69630 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 69630

Prime factors of 69630 are 2, 3, 5, 11, 211. Prime factorization of 69630 in exponential form is:

69630 = 2¹ × 3¹ × 5¹ × 11¹ × 211¹

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 69630

List of positive integer factors of 69630 that divides 69612 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 211, 330, 422, 633, 1055, 1266, 2110, 2321, 3165, 4642, 6330, 6963, 11605, 13926, 23210, 34815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69612 and 69630. The biggest common factor number is the GCF number.
So the greatest common factor 69612 and 69630 is 6.

Also check out the Least Common Multiple of 69612 and 69630