What is the Greatest Common Factor of 39125 and 39135?

Greatest common factor (GCF) of 39125 and 39135 is 5.

GCF(39125,39135) = 5

We will now calculate the prime factors of 39125 and 39135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39125 and 39135.

How to find the GCF of 39125 and 39135?

We will first find the prime factorization of 39125 and 39135. After we will calculate the factors of 39125 and 39135 and find the biggest common factor number .

Step-1: Prime Factorization of 39125

Prime factors of 39125 are 5, 313. Prime factorization of 39125 in exponential form is:

39125 = 5³ × 313¹

Step-2: 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-3: Factors of 39125

List of positive integer factors of 39125 that divides 39125 without a remainder.

1, 5, 25, 125, 313, 1565, 7825

Step-4: Factors of 39135

List of positive integer factors of 39135 that divides 39125 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39125 and 39135. The biggest common factor number is the GCF number.
So the greatest common factor 39125 and 39135 is 5.

Also check out the Least Common Multiple of 39125 and 39135