What is the Greatest Common Factor of 44925 and 44937?

Greatest common factor (GCF) of 44925 and 44937 is 3.

GCF(44925,44937) = 3

We will now calculate the prime factors of 44925 and 44937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44925 and 44937.

How to find the GCF of 44925 and 44937?

We will first find the prime factorization of 44925 and 44937. After we will calculate the factors of 44925 and 44937 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 44937

Prime factors of 44937 are 3, 4993. Prime factorization of 44937 in exponential form is:

44937 = 3² × 4993¹

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 44937

List of positive integer factors of 44937 that divides 44925 without a remainder.

1, 3, 9, 4993, 14979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44925 and 44937. The biggest common factor number is the GCF number.
So the greatest common factor 44925 and 44937 is 3.

Also check out the Least Common Multiple of 44925 and 44937