What is the Greatest Common Factor of 44700 and 44710?

Greatest common factor (GCF) of 44700 and 44710 is 10.

GCF(44700,44710) = 10

We will now calculate the prime factors of 44700 and 44710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44700 and 44710.

How to find the GCF of 44700 and 44710?

We will first find the prime factorization of 44700 and 44710. After we will calculate the factors of 44700 and 44710 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 44710

Prime factors of 44710 are 2, 5, 17, 263. Prime factorization of 44710 in exponential form is:

44710 = 2¹ × 5¹ × 17¹ × 263¹

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 44710

List of positive integer factors of 44710 that divides 44700 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 263, 526, 1315, 2630, 4471, 8942, 22355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44700 and 44710. The biggest common factor number is the GCF number.
So the greatest common factor 44700 and 44710 is 10.

Also check out the Least Common Multiple of 44700 and 44710