What is the Greatest Common Factor of 44925 and 44943?

Greatest common factor (GCF) of 44925 and 44943 is 3.

GCF(44925,44943) = 3

We will now calculate the prime factors of 44925 and 44943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44925 and 44943.

How to find the GCF of 44925 and 44943?

We will first find the prime factorization of 44925 and 44943. After we will calculate the factors of 44925 and 44943 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 44943

Prime factors of 44943 are 3, 71, 211. Prime factorization of 44943 in exponential form is:

44943 = 3¹ × 71¹ × 211¹

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 44943

List of positive integer factors of 44943 that divides 44925 without a remainder.

1, 3, 71, 211, 213, 633, 14981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44925 and 44943. The biggest common factor number is the GCF number.
So the greatest common factor 44925 and 44943 is 3.

Also check out the Least Common Multiple of 44925 and 44943