What is the Greatest Common Factor of 44925 and 44940?

Greatest common factor (GCF) of 44925 and 44940 is 15.

GCF(44925,44940) = 15

We will now calculate the prime factors of 44925 and 44940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44925 and 44940.

How to find the GCF of 44925 and 44940?

We will first find the prime factorization of 44925 and 44940. After we will calculate the factors of 44925 and 44940 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 44940

Prime factors of 44940 are 2, 3, 5, 7, 107. Prime factorization of 44940 in exponential form is:

44940 = 2² × 3¹ × 5¹ × 7¹ × 107¹

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 44940

List of positive integer factors of 44940 that divides 44925 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 107, 140, 210, 214, 321, 420, 428, 535, 642, 749, 1070, 1284, 1498, 1605, 2140, 2247, 2996, 3210, 3745, 4494, 6420, 7490, 8988, 11235, 14980, 22470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44925 and 44940. The biggest common factor number is the GCF number.
So the greatest common factor 44925 and 44940 is 15.

Also check out the Least Common Multiple of 44925 and 44940