What is the Greatest Common Factor of 38944 and 38953?

Greatest common factor (GCF) of 38944 and 38953 is 1.

GCF(38944,38953) = 1

We will now calculate the prime factors of 38944 and 38953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38944 and 38953.

How to find the GCF of 38944 and 38953?

We will first find the prime factorization of 38944 and 38953. After we will calculate the factors of 38944 and 38953 and find the biggest common factor number .

Step-1: Prime Factorization of 38944

Prime factors of 38944 are 2, 1217. Prime factorization of 38944 in exponential form is:

38944 = 2⁵ × 1217¹

Step-2: Prime Factorization of 38953

Prime factors of 38953 are 38953. Prime factorization of 38953 in exponential form is:

38953 = 38953¹

Step-3: Factors of 38944

List of positive integer factors of 38944 that divides 38944 without a remainder.

1, 2, 4, 8, 16, 32, 1217, 2434, 4868, 9736, 19472

Step-4: Factors of 38953

List of positive integer factors of 38953 that divides 38944 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38944 and 38953. The biggest common factor number is the GCF number.
So the greatest common factor 38944 and 38953 is 1.

Also check out the Least Common Multiple of 38944 and 38953