What is the Greatest Common Factor of 66132 and 66140?

Greatest common factor (GCF) of 66132 and 66140 is 4.

GCF(66132,66140) = 4

We will now calculate the prime factors of 66132 and 66140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66132 and 66140.

How to find the GCF of 66132 and 66140?

We will first find the prime factorization of 66132 and 66140. After we will calculate the factors of 66132 and 66140 and find the biggest common factor number .

Step-1: Prime Factorization of 66132

Prime factors of 66132 are 2, 3, 11, 167. Prime factorization of 66132 in exponential form is:

66132 = 2² × 3² × 11¹ × 167¹

Step-2: Prime Factorization of 66140

Prime factors of 66140 are 2, 5, 3307. Prime factorization of 66140 in exponential form is:

66140 = 2² × 5¹ × 3307¹

Step-3: Factors of 66132

List of positive integer factors of 66132 that divides 66132 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 167, 198, 334, 396, 501, 668, 1002, 1503, 1837, 2004, 3006, 3674, 5511, 6012, 7348, 11022, 16533, 22044, 33066

Step-4: Factors of 66140

List of positive integer factors of 66140 that divides 66132 without a remainder.

1, 2, 4, 5, 10, 20, 3307, 6614, 13228, 16535, 33070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66132 and 66140. The biggest common factor number is the GCF number.
So the greatest common factor 66132 and 66140 is 4.

Also check out the Least Common Multiple of 66132 and 66140