What is the Greatest Common Factor of 44955 and 44970?

Greatest common factor (GCF) of 44955 and 44970 is 15.

GCF(44955,44970) = 15

We will now calculate the prime factors of 44955 and 44970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44955 and 44970.

How to find the GCF of 44955 and 44970?

We will first find the prime factorization of 44955 and 44970. After we will calculate the factors of 44955 and 44970 and find the biggest common factor number .

Step-1: Prime Factorization of 44955

Prime factors of 44955 are 3, 5, 37. Prime factorization of 44955 in exponential form is:

44955 = 3⁵ × 5¹ × 37¹

Step-2: Prime Factorization of 44970

Prime factors of 44970 are 2, 3, 5, 1499. Prime factorization of 44970 in exponential form is:

44970 = 2¹ × 3¹ × 5¹ × 1499¹

Step-3: Factors of 44955

List of positive integer factors of 44955 that divides 44955 without a remainder.

1, 3, 5, 9, 15, 27, 37, 45, 81, 111, 135, 185, 243, 333, 405, 555, 999, 1215, 1665, 2997, 4995, 8991, 14985

Step-4: Factors of 44970

List of positive integer factors of 44970 that divides 44955 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1499, 2998, 4497, 7495, 8994, 14990, 22485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44955 and 44970. The biggest common factor number is the GCF number.
So the greatest common factor 44955 and 44970 is 15.

Also check out the Least Common Multiple of 44955 and 44970