What is the Greatest Common Factor of 38974 and 38984?

Greatest common factor (GCF) of 38974 and 38984 is 2.

GCF(38974,38984) = 2

We will now calculate the prime factors of 38974 and 38984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38974 and 38984.

How to find the GCF of 38974 and 38984?

We will first find the prime factorization of 38974 and 38984. After we will calculate the factors of 38974 and 38984 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 38984

Prime factors of 38984 are 2, 11, 443. Prime factorization of 38984 in exponential form is:

38984 = 2³ × 11¹ × 443¹

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 38984

List of positive integer factors of 38984 that divides 38974 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 443, 886, 1772, 3544, 4873, 9746, 19492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38974 and 38984. The biggest common factor number is the GCF number.
So the greatest common factor 38974 and 38984 is 2.

Also check out the Least Common Multiple of 38974 and 38984