What is the Greatest Common Factor of 39910 and 39925?

Greatest common factor (GCF) of 39910 and 39925 is 5.

GCF(39910,39925) = 5

We will now calculate the prime factors of 39910 and 39925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39910 and 39925.

How to find the GCF of 39910 and 39925?

We will first find the prime factorization of 39910 and 39925. After we will calculate the factors of 39910 and 39925 and find the biggest common factor number .

Step-1: Prime Factorization of 39910

Prime factors of 39910 are 2, 5, 13, 307. Prime factorization of 39910 in exponential form is:

39910 = 2¹ × 5¹ × 13¹ × 307¹

Step-2: Prime Factorization of 39925

Prime factors of 39925 are 5, 1597. Prime factorization of 39925 in exponential form is:

39925 = 5² × 1597¹

Step-3: Factors of 39910

List of positive integer factors of 39910 that divides 39910 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 307, 614, 1535, 3070, 3991, 7982, 19955

Step-4: Factors of 39925

List of positive integer factors of 39925 that divides 39910 without a remainder.

1, 5, 25, 1597, 7985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39910 and 39925. The biggest common factor number is the GCF number.
So the greatest common factor 39910 and 39925 is 5.

Also check out the Least Common Multiple of 39910 and 39925