What is the Greatest Common Factor of 39925 and 39945?

Greatest common factor (GCF) of 39925 and 39945 is 5.

GCF(39925,39945) = 5

We will now calculate the prime factors of 39925 and 39945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39925 and 39945.

How to find the GCF of 39925 and 39945?

We will first find the prime factorization of 39925 and 39945. After we will calculate the factors of 39925 and 39945 and find the biggest common factor number .

Step-1: Prime Factorization of 39925

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

39925 = 5² × 1597¹

Step-2: Prime Factorization of 39945

Prime factors of 39945 are 3, 5, 2663. Prime factorization of 39945 in exponential form is:

39945 = 3¹ × 5¹ × 2663¹

Step-3: Factors of 39925

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

1, 5, 25, 1597, 7985

Step-4: Factors of 39945

List of positive integer factors of 39945 that divides 39925 without a remainder.

1, 3, 5, 15, 2663, 7989, 13315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39925 and 39945. The biggest common factor number is the GCF number.
So the greatest common factor 39925 and 39945 is 5.

Also check out the Least Common Multiple of 39925 and 39945