What is the Greatest Common Factor of 44077 and 44088?

Greatest common factor (GCF) of 44077 and 44088 is 11.

GCF(44077,44088) = 11

We will now calculate the prime factors of 44077 and 44088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44077 and 44088.

How to find the GCF of 44077 and 44088?

We will first find the prime factorization of 44077 and 44088. After we will calculate the factors of 44077 and 44088 and find the biggest common factor number .

Step-1: Prime Factorization of 44077

Prime factors of 44077 are 11, 4007. Prime factorization of 44077 in exponential form is:

44077 = 11¹ × 4007¹

Step-2: Prime Factorization of 44088

Prime factors of 44088 are 2, 3, 11, 167. Prime factorization of 44088 in exponential form is:

44088 = 2³ × 3¹ × 11¹ × 167¹

Step-3: Factors of 44077

List of positive integer factors of 44077 that divides 44077 without a remainder.

1, 11, 4007

Step-4: Factors of 44088

List of positive integer factors of 44088 that divides 44077 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 167, 264, 334, 501, 668, 1002, 1336, 1837, 2004, 3674, 4008, 5511, 7348, 11022, 14696, 22044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44077 and 44088. The biggest common factor number is the GCF number.
So the greatest common factor 44077 and 44088 is 11.

Also check out the Least Common Multiple of 44077 and 44088