What is the Greatest Common Factor of 44115 and 44132?

Greatest common factor (GCF) of 44115 and 44132 is 17.

GCF(44115,44132) = 17

We will now calculate the prime factors of 44115 and 44132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44115 and 44132.

How to find the GCF of 44115 and 44132?

We will first find the prime factorization of 44115 and 44132. After we will calculate the factors of 44115 and 44132 and find the biggest common factor number .

Step-1: Prime Factorization of 44115

Prime factors of 44115 are 3, 5, 17, 173. Prime factorization of 44115 in exponential form is:

44115 = 3¹ × 5¹ × 17¹ × 173¹

Step-2: Prime Factorization of 44132

Prime factors of 44132 are 2, 11, 17, 59. Prime factorization of 44132 in exponential form is:

44132 = 2² × 11¹ × 17¹ × 59¹

Step-3: Factors of 44115

List of positive integer factors of 44115 that divides 44115 without a remainder.

1, 3, 5, 15, 17, 51, 85, 173, 255, 519, 865, 2595, 2941, 8823, 14705

Step-4: Factors of 44132

List of positive integer factors of 44132 that divides 44115 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 59, 68, 118, 187, 236, 374, 649, 748, 1003, 1298, 2006, 2596, 4012, 11033, 22066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44115 and 44132. The biggest common factor number is the GCF number.
So the greatest common factor 44115 and 44132 is 17.

Also check out the Least Common Multiple of 44115 and 44132