What is the Greatest Common Factor of 39914 and 39931?

Greatest common factor (GCF) of 39914 and 39931 is 1.

GCF(39914,39931) = 1

We will now calculate the prime factors of 39914 and 39931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39914 and 39931.

How to find the GCF of 39914 and 39931?

We will first find the prime factorization of 39914 and 39931. After we will calculate the factors of 39914 and 39931 and find the biggest common factor number .

Step-1: Prime Factorization of 39914

Prime factors of 39914 are 2, 7, 2851. Prime factorization of 39914 in exponential form is:

39914 = 2¹ × 7¹ × 2851¹

Step-2: Prime Factorization of 39931

Prime factors of 39931 are 73, 547. Prime factorization of 39931 in exponential form is:

39931 = 73¹ × 547¹

Step-3: Factors of 39914

List of positive integer factors of 39914 that divides 39914 without a remainder.

1, 2, 7, 14, 2851, 5702, 19957

Step-4: Factors of 39931

List of positive integer factors of 39931 that divides 39914 without a remainder.

1, 73, 547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39914 and 39931. The biggest common factor number is the GCF number.
So the greatest common factor 39914 and 39931 is 1.

Also check out the Least Common Multiple of 39914 and 39931