What is the Greatest Common Factor of 39135 and 39140?

Greatest common factor (GCF) of 39135 and 39140 is 5.

GCF(39135,39140) = 5

We will now calculate the prime factors of 39135 and 39140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39135 and 39140.

How to find the GCF of 39135 and 39140?

We will first find the prime factorization of 39135 and 39140. After we will calculate the factors of 39135 and 39140 and find the biggest common factor number .

Step-1: Prime Factorization of 39135

Prime factors of 39135 are 3, 5, 2609. Prime factorization of 39135 in exponential form is:

39135 = 3¹ × 5¹ × 2609¹

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 39135

List of positive integer factors of 39135 that divides 39135 without a remainder.

1, 3, 5, 15, 2609, 7827, 13045

Step-4: Factors of 39140

List of positive integer factors of 39140 that divides 39135 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 39135 and 39140. The biggest common factor number is the GCF number.
So the greatest common factor 39135 and 39140 is 5.

Also check out the Least Common Multiple of 39135 and 39140