What is the Greatest Common Factor of 18612 and 18621?

Greatest common factor (GCF) of 18612 and 18621 is 9.

GCF(18612,18621) = 9

We will now calculate the prime factors of 18612 and 18621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18612 and 18621.

How to find the GCF of 18612 and 18621?

We will first find the prime factorization of 18612 and 18621. After we will calculate the factors of 18612 and 18621 and find the biggest common factor number .

Step-1: Prime Factorization of 18612

Prime factors of 18612 are 2, 3, 11, 47. Prime factorization of 18612 in exponential form is:

18612 = 2² × 3² × 11¹ × 47¹

Step-2: Prime Factorization of 18621

Prime factors of 18621 are 3, 2069. Prime factorization of 18621 in exponential form is:

18621 = 3² × 2069¹

Step-3: Factors of 18612

List of positive integer factors of 18612 that divides 18612 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 47, 66, 94, 99, 132, 141, 188, 198, 282, 396, 423, 517, 564, 846, 1034, 1551, 1692, 2068, 3102, 4653, 6204, 9306

Step-4: Factors of 18621

List of positive integer factors of 18621 that divides 18612 without a remainder.

1, 3, 9, 2069, 6207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18612 and 18621. The biggest common factor number is the GCF number.
So the greatest common factor 18612 and 18621 is 9.

Also check out the Least Common Multiple of 18612 and 18621