What is the Greatest Common Factor of 66126 and 66132?

Greatest common factor (GCF) of 66126 and 66132 is 6.

GCF(66126,66132) = 6

We will now calculate the prime factors of 66126 and 66132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66126 and 66132.

How to find the GCF of 66126 and 66132?

We will first find the prime factorization of 66126 and 66132. After we will calculate the factors of 66126 and 66132 and find the biggest common factor number .

Step-1: Prime Factorization of 66126

Prime factors of 66126 are 2, 3, 103, 107. Prime factorization of 66126 in exponential form is:

66126 = 2¹ × 3¹ × 103¹ × 107¹

Step-2: 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-3: Factors of 66126

List of positive integer factors of 66126 that divides 66126 without a remainder.

1, 2, 3, 6, 103, 107, 206, 214, 309, 321, 618, 642, 11021, 22042, 33063

Step-4: Factors of 66132

List of positive integer factors of 66132 that divides 66126 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66126 and 66132. The biggest common factor number is the GCF number.
So the greatest common factor 66126 and 66132 is 6.

Also check out the Least Common Multiple of 66126 and 66132