What is the Greatest Common Factor of 39132 and 39140?

Greatest common factor (GCF) of 39132 and 39140 is 4.

GCF(39132,39140) = 4

We will now calculate the prime factors of 39132 and 39140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39132 and 39140.

How to find the GCF of 39132 and 39140?

We will first find the prime factorization of 39132 and 39140. After we will calculate the factors of 39132 and 39140 and find the biggest common factor number .

Step-1: Prime Factorization of 39132

Prime factors of 39132 are 2, 3, 1087. Prime factorization of 39132 in exponential form is:

39132 = 2² × 3² × 1087¹

Step-2: Prime Factorization of 39140

Prime factors of 39140 are 2, 5, 19, 103. Prime factorization of 39140 in exponential form is:

39140 = 2² × 5¹ × 19¹ × 103¹

Step-3: Factors of 39132

List of positive integer factors of 39132 that divides 39132 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1087, 2174, 3261, 4348, 6522, 9783, 13044, 19566

Step-4: Factors of 39140

List of positive integer factors of 39140 that divides 39132 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 103, 190, 206, 380, 412, 515, 1030, 1957, 2060, 3914, 7828, 9785, 19570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39132 and 39140. The biggest common factor number is the GCF number.
So the greatest common factor 39132 and 39140 is 4.

Also check out the Least Common Multiple of 39132 and 39140