What is the Greatest Common Factor of 38922 and 38931?

Greatest common factor (GCF) of 38922 and 38931 is 3.

GCF(38922,38931) = 3

We will now calculate the prime factors of 38922 and 38931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38922 and 38931.

How to find the GCF of 38922 and 38931?

We will first find the prime factorization of 38922 and 38931. After we will calculate the factors of 38922 and 38931 and find the biggest common factor number .

Step-1: Prime Factorization of 38922

Prime factors of 38922 are 2, 3, 13, 499. Prime factorization of 38922 in exponential form is:

38922 = 2¹ × 3¹ × 13¹ × 499¹

Step-2: Prime Factorization of 38931

Prime factors of 38931 are 3, 19, 683. Prime factorization of 38931 in exponential form is:

38931 = 3¹ × 19¹ × 683¹

Step-3: Factors of 38922

List of positive integer factors of 38922 that divides 38922 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 499, 998, 1497, 2994, 6487, 12974, 19461

Step-4: Factors of 38931

List of positive integer factors of 38931 that divides 38922 without a remainder.

1, 3, 19, 57, 683, 2049, 12977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38922 and 38931. The biggest common factor number is the GCF number.
So the greatest common factor 38922 and 38931 is 3.

Also check out the Least Common Multiple of 38922 and 38931