What is the Greatest Common Factor of 44132 and 44138?

Greatest common factor (GCF) of 44132 and 44138 is 2.

GCF(44132,44138) = 2

We will now calculate the prime factors of 44132 and 44138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44132 and 44138.

How to find the GCF of 44132 and 44138?

We will first find the prime factorization of 44132 and 44138. After we will calculate the factors of 44132 and 44138 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44138

Prime factors of 44138 are 2, 29, 761. Prime factorization of 44138 in exponential form is:

44138 = 2¹ × 29¹ × 761¹

Step-3: Factors of 44132

List of positive integer factors of 44132 that divides 44132 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

Step-4: Factors of 44138

List of positive integer factors of 44138 that divides 44132 without a remainder.

1, 2, 29, 58, 761, 1522, 22069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44132 and 44138. The biggest common factor number is the GCF number.
So the greatest common factor 44132 and 44138 is 2.

Also check out the Least Common Multiple of 44132 and 44138