What is the Greatest Common Factor of 39310 and 39325?

Greatest common factor (GCF) of 39310 and 39325 is 5.

GCF(39310,39325) = 5

We will now calculate the prime factors of 39310 and 39325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39310 and 39325.

How to find the GCF of 39310 and 39325?

We will first find the prime factorization of 39310 and 39325. After we will calculate the factors of 39310 and 39325 and find the biggest common factor number .

Step-1: Prime Factorization of 39310

Prime factors of 39310 are 2, 5, 3931. Prime factorization of 39310 in exponential form is:

39310 = 2¹ × 5¹ × 3931¹

Step-2: Prime Factorization of 39325

Prime factors of 39325 are 5, 11, 13. Prime factorization of 39325 in exponential form is:

39325 = 5² × 11² × 13¹

Step-3: Factors of 39310

List of positive integer factors of 39310 that divides 39310 without a remainder.

1, 2, 5, 10, 3931, 7862, 19655

Step-4: Factors of 39325

List of positive integer factors of 39325 that divides 39310 without a remainder.

1, 5, 11, 13, 25, 55, 65, 121, 143, 275, 325, 605, 715, 1573, 3025, 3575, 7865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39310 and 39325. The biggest common factor number is the GCF number.
So the greatest common factor 39310 and 39325 is 5.

Also check out the Least Common Multiple of 39310 and 39325