What is the Greatest Common Factor of 69612 and 69620?

Greatest common factor (GCF) of 69612 and 69620 is 4.

GCF(69612,69620) = 4

We will now calculate the prime factors of 69612 and 69620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69612 and 69620.

How to find the GCF of 69612 and 69620?

We will first find the prime factorization of 69612 and 69620. After we will calculate the factors of 69612 and 69620 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 69620

Prime factors of 69620 are 2, 5, 59. Prime factorization of 69620 in exponential form is:

69620 = 2² × 5¹ × 59²

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 69620

List of positive integer factors of 69620 that divides 69612 without a remainder.

1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180, 3481, 6962, 13924, 17405, 34810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69612 and 69620. The biggest common factor number is the GCF number.
So the greatest common factor 69612 and 69620 is 4.

Also check out the Least Common Multiple of 69612 and 69620