What is the Greatest Common Factor of 44565 and 44577?

Greatest common factor (GCF) of 44565 and 44577 is 3.

GCF(44565,44577) = 3

We will now calculate the prime factors of 44565 and 44577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44565 and 44577.

How to find the GCF of 44565 and 44577?

We will first find the prime factorization of 44565 and 44577. After we will calculate the factors of 44565 and 44577 and find the biggest common factor number .

Step-1: Prime Factorization of 44565

Prime factors of 44565 are 3, 5, 2971. Prime factorization of 44565 in exponential form is:

44565 = 3¹ × 5¹ × 2971¹

Step-2: Prime Factorization of 44577

Prime factors of 44577 are 3, 13, 127. Prime factorization of 44577 in exponential form is:

44577 = 3³ × 13¹ × 127¹

Step-3: Factors of 44565

List of positive integer factors of 44565 that divides 44565 without a remainder.

1, 3, 5, 15, 2971, 8913, 14855

Step-4: Factors of 44577

List of positive integer factors of 44577 that divides 44565 without a remainder.

1, 3, 9, 13, 27, 39, 117, 127, 351, 381, 1143, 1651, 3429, 4953, 14859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44565 and 44577. The biggest common factor number is the GCF number.
So the greatest common factor 44565 and 44577 is 3.

Also check out the Least Common Multiple of 44565 and 44577