What is the Greatest Common Factor of 44700 and 44705?

Greatest common factor (GCF) of 44700 and 44705 is 5.

GCF(44700,44705) = 5

We will now calculate the prime factors of 44700 and 44705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44700 and 44705.

How to find the GCF of 44700 and 44705?

We will first find the prime factorization of 44700 and 44705. After we will calculate the factors of 44700 and 44705 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44705

Prime factors of 44705 are 5, 8941. Prime factorization of 44705 in exponential form is:

44705 = 5¹ × 8941¹

Step-3: Factors of 44700

List of positive integer factors of 44700 that divides 44700 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

Step-4: Factors of 44705

List of positive integer factors of 44705 that divides 44700 without a remainder.

1, 5, 8941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44700 and 44705. The biggest common factor number is the GCF number.
So the greatest common factor 44700 and 44705 is 5.

Also check out the Least Common Multiple of 44700 and 44705