What is the Greatest Common Factor of 6612 and 6632?

Greatest common factor (GCF) of 6612 and 6632 is 4.

GCF(6612,6632) = 4

We will now calculate the prime factors of 6612 and 6632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6612 and 6632.

How to find the GCF of 6612 and 6632?

We will first find the prime factorization of 6612 and 6632. After we will calculate the factors of 6612 and 6632 and find the biggest common factor number .

Step-1: Prime Factorization of 6612

Prime factors of 6612 are 2, 3, 19, 29. Prime factorization of 6612 in exponential form is:

6612 = 2² × 3¹ × 19¹ × 29¹

Step-2: Prime Factorization of 6632

Prime factors of 6632 are 2, 829. Prime factorization of 6632 in exponential form is:

6632 = 2³ × 829¹

Step-3: Factors of 6612

List of positive integer factors of 6612 that divides 6612 without a remainder.

1, 2, 3, 4, 6, 12, 19, 29, 38, 57, 58, 76, 87, 114, 116, 174, 228, 348, 551, 1102, 1653, 2204, 3306

Step-4: Factors of 6632

List of positive integer factors of 6632 that divides 6612 without a remainder.

1, 2, 4, 8, 829, 1658, 3316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6612 and 6632. The biggest common factor number is the GCF number.
So the greatest common factor 6612 and 6632 is 4.

Also check out the Least Common Multiple of 6612 and 6632