What is the Greatest Common Factor of 38972 and 38990?

Greatest common factor (GCF) of 38972 and 38990 is 2.

GCF(38972,38990) = 2

We will now calculate the prime factors of 38972 and 38990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38972 and 38990.

How to find the GCF of 38972 and 38990?

We will first find the prime factorization of 38972 and 38990. After we will calculate the factors of 38972 and 38990 and find the biggest common factor number .

Step-1: Prime Factorization of 38972

Prime factors of 38972 are 2, 9743. Prime factorization of 38972 in exponential form is:

38972 = 2² × 9743¹

Step-2: Prime Factorization of 38990

Prime factors of 38990 are 2, 5, 7, 557. Prime factorization of 38990 in exponential form is:

38990 = 2¹ × 5¹ × 7¹ × 557¹

Step-3: Factors of 38972

List of positive integer factors of 38972 that divides 38972 without a remainder.

1, 2, 4, 9743, 19486

Step-4: Factors of 38990

List of positive integer factors of 38990 that divides 38972 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 557, 1114, 2785, 3899, 5570, 7798, 19495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38972 and 38990. The biggest common factor number is the GCF number.
So the greatest common factor 38972 and 38990 is 2.

Also check out the Least Common Multiple of 38972 and 38990