What is the Greatest Common Factor of 44660 and 44671?

Greatest common factor (GCF) of 44660 and 44671 is 11.

GCF(44660,44671) = 11

We will now calculate the prime factors of 44660 and 44671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44660 and 44671.

How to find the GCF of 44660 and 44671?

We will first find the prime factorization of 44660 and 44671. After we will calculate the factors of 44660 and 44671 and find the biggest common factor number .

Step-1: Prime Factorization of 44660

Prime factors of 44660 are 2, 5, 7, 11, 29. Prime factorization of 44660 in exponential form is:

44660 = 2² × 5¹ × 7¹ × 11¹ × 29¹

Step-2: Prime Factorization of 44671

Prime factors of 44671 are 11, 31, 131. Prime factorization of 44671 in exponential form is:

44671 = 11¹ × 31¹ × 131¹

Step-3: Factors of 44660

List of positive integer factors of 44660 that divides 44660 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 29, 35, 44, 55, 58, 70, 77, 110, 116, 140, 145, 154, 203, 220, 290, 308, 319, 385, 406, 580, 638, 770, 812, 1015, 1276, 1540, 1595, 2030, 2233, 3190, 4060, 4466, 6380, 8932, 11165, 22330

Step-4: Factors of 44671

List of positive integer factors of 44671 that divides 44660 without a remainder.

1, 11, 31, 131, 341, 1441, 4061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44660 and 44671. The biggest common factor number is the GCF number.
So the greatest common factor 44660 and 44671 is 11.

Also check out the Least Common Multiple of 44660 and 44671