What is the Greatest Common Factor of 38980 and 38992?

Greatest common factor (GCF) of 38980 and 38992 is 4.

GCF(38980,38992) = 4

We will now calculate the prime factors of 38980 and 38992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38980 and 38992.

How to find the GCF of 38980 and 38992?

We will first find the prime factorization of 38980 and 38992. After we will calculate the factors of 38980 and 38992 and find the biggest common factor number .

Step-1: Prime Factorization of 38980

Prime factors of 38980 are 2, 5, 1949. Prime factorization of 38980 in exponential form is:

38980 = 2² × 5¹ × 1949¹

Step-2: Prime Factorization of 38992

Prime factors of 38992 are 2, 2437. Prime factorization of 38992 in exponential form is:

38992 = 2⁴ × 2437¹

Step-3: Factors of 38980

List of positive integer factors of 38980 that divides 38980 without a remainder.

1, 2, 4, 5, 10, 20, 1949, 3898, 7796, 9745, 19490

Step-4: Factors of 38992

List of positive integer factors of 38992 that divides 38980 without a remainder.

1, 2, 4, 8, 16, 2437, 4874, 9748, 19496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38980 and 38992. The biggest common factor number is the GCF number.
So the greatest common factor 38980 and 38992 is 4.

Also check out the Least Common Multiple of 38980 and 38992