What is the Greatest Common Factor of 44672 and 44689?

Greatest common factor (GCF) of 44672 and 44689 is 1.

GCF(44672,44689) = 1

We will now calculate the prime factors of 44672 and 44689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44672 and 44689.

How to find the GCF of 44672 and 44689?

We will first find the prime factorization of 44672 and 44689. After we will calculate the factors of 44672 and 44689 and find the biggest common factor number .

Step-1: Prime Factorization of 44672

Prime factors of 44672 are 2, 349. Prime factorization of 44672 in exponential form is:

44672 = 2⁷ × 349¹

Step-2: Prime Factorization of 44689

Prime factors of 44689 are 23, 29, 67. Prime factorization of 44689 in exponential form is:

44689 = 23¹ × 29¹ × 67¹

Step-3: Factors of 44672

List of positive integer factors of 44672 that divides 44672 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 349, 698, 1396, 2792, 5584, 11168, 22336

Step-4: Factors of 44689

List of positive integer factors of 44689 that divides 44672 without a remainder.

1, 23, 29, 67, 667, 1541, 1943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44672 and 44689. The biggest common factor number is the GCF number.
So the greatest common factor 44672 and 44689 is 1.

Also check out the Least Common Multiple of 44672 and 44689