What is the Greatest Common Factor of 39125 and 39145?

Greatest common factor (GCF) of 39125 and 39145 is 5.

GCF(39125,39145) = 5

We will now calculate the prime factors of 39125 and 39145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39125 and 39145.

How to find the GCF of 39125 and 39145?

We will first find the prime factorization of 39125 and 39145. After we will calculate the factors of 39125 and 39145 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 39145

Prime factors of 39145 are 5, 7829. Prime factorization of 39145 in exponential form is:

39145 = 5¹ × 7829¹

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 39145

List of positive integer factors of 39145 that divides 39125 without a remainder.

1, 5, 7829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39125 and 39145. The biggest common factor number is the GCF number.
So the greatest common factor 39125 and 39145 is 5.

Also check out the Least Common Multiple of 39125 and 39145