What is the Greatest Common Factor of 44695 and 44700?

Greatest common factor (GCF) of 44695 and 44700 is 5.

GCF(44695,44700) = 5

We will now calculate the prime factors of 44695 and 44700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44695 and 44700.

How to find the GCF of 44695 and 44700?

We will first find the prime factorization of 44695 and 44700. After we will calculate the factors of 44695 and 44700 and find the biggest common factor number .

Step-1: Prime Factorization of 44695

Prime factors of 44695 are 5, 7, 1277. Prime factorization of 44695 in exponential form is:

44695 = 5¹ × 7¹ × 1277¹

Step-2: Prime Factorization of 44700

Prime factors of 44700 are 2, 3, 5, 149. Prime factorization of 44700 in exponential form is:

44700 = 2² × 3¹ × 5² × 149¹

Step-3: Factors of 44695

List of positive integer factors of 44695 that divides 44695 without a remainder.

1, 5, 7, 35, 1277, 6385, 8939

Step-4: Factors of 44700

List of positive integer factors of 44700 that divides 44695 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 149, 150, 298, 300, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 3725, 4470, 7450, 8940, 11175, 14900, 22350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44695 and 44700. The biggest common factor number is the GCF number.
So the greatest common factor 44695 and 44700 is 5.

Also check out the Least Common Multiple of 44695 and 44700