What is the Greatest Common Factor of 39940 and 39945?

Greatest common factor (GCF) of 39940 and 39945 is 5.

GCF(39940,39945) = 5

We will now calculate the prime factors of 39940 and 39945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39940 and 39945.

How to find the GCF of 39940 and 39945?

We will first find the prime factorization of 39940 and 39945. After we will calculate the factors of 39940 and 39945 and find the biggest common factor number .

Step-1: Prime Factorization of 39940

Prime factors of 39940 are 2, 5, 1997. Prime factorization of 39940 in exponential form is:

39940 = 2² × 5¹ × 1997¹

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 39940

List of positive integer factors of 39940 that divides 39940 without a remainder.

1, 2, 4, 5, 10, 20, 1997, 3994, 7988, 9985, 19970

Step-4: Factors of 39945

List of positive integer factors of 39945 that divides 39940 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39940 and 39945. The biggest common factor number is the GCF number.
So the greatest common factor 39940 and 39945 is 5.

Also check out the Least Common Multiple of 39940 and 39945