What is the Greatest Common Factor of 38974 and 38980?

Greatest common factor (GCF) of 38974 and 38980 is 2.

GCF(38974,38980) = 2

We will now calculate the prime factors of 38974 and 38980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38974 and 38980.

How to find the GCF of 38974 and 38980?

We will first find the prime factorization of 38974 and 38980. After we will calculate the factors of 38974 and 38980 and find the biggest common factor number .

Step-1: Prime Factorization of 38974

Prime factors of 38974 are 2, 13, 1499. Prime factorization of 38974 in exponential form is:

38974 = 2¹ × 13¹ × 1499¹

Step-2: 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-3: Factors of 38974

List of positive integer factors of 38974 that divides 38974 without a remainder.

1, 2, 13, 26, 1499, 2998, 19487

Step-4: Factors of 38980

List of positive integer factors of 38980 that divides 38974 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38974 and 38980. The biggest common factor number is the GCF number.
So the greatest common factor 38974 and 38980 is 2.

Also check out the Least Common Multiple of 38974 and 38980