What is the Greatest Common Factor of 44925 and 44938?

Greatest common factor (GCF) of 44925 and 44938 is 1.

GCF(44925,44938) = 1

We will now calculate the prime factors of 44925 and 44938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44925 and 44938.

How to find the GCF of 44925 and 44938?

We will first find the prime factorization of 44925 and 44938. After we will calculate the factors of 44925 and 44938 and find the biggest common factor number .

Step-1: Prime Factorization of 44925

Prime factors of 44925 are 3, 5, 599. Prime factorization of 44925 in exponential form is:

44925 = 3¹ × 5² × 599¹

Step-2: Prime Factorization of 44938

Prime factors of 44938 are 2, 22469. Prime factorization of 44938 in exponential form is:

44938 = 2¹ × 22469¹

Step-3: Factors of 44925

List of positive integer factors of 44925 that divides 44925 without a remainder.

1, 3, 5, 15, 25, 75, 599, 1797, 2995, 8985, 14975

Step-4: Factors of 44938

List of positive integer factors of 44938 that divides 44925 without a remainder.

1, 2, 22469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44925 and 44938. The biggest common factor number is the GCF number.
So the greatest common factor 44925 and 44938 is 1.

Also check out the Least Common Multiple of 44925 and 44938