What is the Greatest Common Factor of 39914 and 39920?

Greatest common factor (GCF) of 39914 and 39920 is 2.

GCF(39914,39920) = 2

We will now calculate the prime factors of 39914 and 39920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39914 and 39920.

How to find the GCF of 39914 and 39920?

We will first find the prime factorization of 39914 and 39920. After we will calculate the factors of 39914 and 39920 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 39920

Prime factors of 39920 are 2, 5, 499. Prime factorization of 39920 in exponential form is:

39920 = 2⁴ × 5¹ × 499¹

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 39920

List of positive integer factors of 39920 that divides 39914 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 499, 998, 1996, 2495, 3992, 4990, 7984, 9980, 19960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39914 and 39920. The biggest common factor number is the GCF number.
So the greatest common factor 39914 and 39920 is 2.

Also check out the Least Common Multiple of 39914 and 39920