What is the Greatest Common Factor of 38451 and 38457?

Greatest common factor (GCF) of 38451 and 38457 is 3.

GCF(38451,38457) = 3

We will now calculate the prime factors of 38451 and 38457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38451 and 38457.

How to find the GCF of 38451 and 38457?

We will first find the prime factorization of 38451 and 38457. After we will calculate the factors of 38451 and 38457 and find the biggest common factor number .

Step-1: Prime Factorization of 38451

Prime factors of 38451 are 3, 7, 1831. Prime factorization of 38451 in exponential form is:

38451 = 3¹ × 7¹ × 1831¹

Step-2: Prime Factorization of 38457

Prime factors of 38457 are 3, 4273. Prime factorization of 38457 in exponential form is:

38457 = 3² × 4273¹

Step-3: Factors of 38451

List of positive integer factors of 38451 that divides 38451 without a remainder.

1, 3, 7, 21, 1831, 5493, 12817

Step-4: Factors of 38457

List of positive integer factors of 38457 that divides 38451 without a remainder.

1, 3, 9, 4273, 12819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38451 and 38457. The biggest common factor number is the GCF number.
So the greatest common factor 38451 and 38457 is 3.

Also check out the Least Common Multiple of 38451 and 38457