What is the Greatest Common Factor of 6132 and 6146?

Greatest common factor (GCF) of 6132 and 6146 is 14.

GCF(6132,6146) = 14

We will now calculate the prime factors of 6132 and 6146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6132 and 6146.

How to find the GCF of 6132 and 6146?

We will first find the prime factorization of 6132 and 6146. After we will calculate the factors of 6132 and 6146 and find the biggest common factor number .

Step-1: Prime Factorization of 6132

Prime factors of 6132 are 2, 3, 7, 73. Prime factorization of 6132 in exponential form is:

6132 = 2² × 3¹ × 7¹ × 73¹

Step-2: Prime Factorization of 6146

Prime factors of 6146 are 2, 7, 439. Prime factorization of 6146 in exponential form is:

6146 = 2¹ × 7¹ × 439¹

Step-3: Factors of 6132

List of positive integer factors of 6132 that divides 6132 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 73, 84, 146, 219, 292, 438, 511, 876, 1022, 1533, 2044, 3066

Step-4: Factors of 6146

List of positive integer factors of 6146 that divides 6132 without a remainder.

1, 2, 7, 14, 439, 878, 3073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6132 and 6146. The biggest common factor number is the GCF number.
So the greatest common factor 6132 and 6146 is 14.

Also check out the Least Common Multiple of 6132 and 6146