What is the Greatest Common Factor of 44965 and 44970?

Greatest common factor (GCF) of 44965 and 44970 is 5.

GCF(44965,44970) = 5

We will now calculate the prime factors of 44965 and 44970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44965 and 44970.

How to find the GCF of 44965 and 44970?

We will first find the prime factorization of 44965 and 44970. After we will calculate the factors of 44965 and 44970 and find the biggest common factor number .

Step-1: Prime Factorization of 44965

Prime factors of 44965 are 5, 17, 23. Prime factorization of 44965 in exponential form is:

44965 = 5¹ × 17¹ × 23²

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 44965

List of positive integer factors of 44965 that divides 44965 without a remainder.

1, 5, 17, 23, 85, 115, 391, 529, 1955, 2645, 8993

Step-4: Factors of 44970

List of positive integer factors of 44970 that divides 44965 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 44965 and 44970. The biggest common factor number is the GCF number.
So the greatest common factor 44965 and 44970 is 5.

Also check out the Least Common Multiple of 44965 and 44970