What is the Greatest Common Factor of 44625 and 44639?

Greatest common factor (GCF) of 44625 and 44639 is 7.

GCF(44625,44639) = 7

We will now calculate the prime factors of 44625 and 44639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44625 and 44639.

How to find the GCF of 44625 and 44639?

We will first find the prime factorization of 44625 and 44639. After we will calculate the factors of 44625 and 44639 and find the biggest common factor number .

Step-1: Prime Factorization of 44625

Prime factors of 44625 are 3, 5, 7, 17. Prime factorization of 44625 in exponential form is:

44625 = 3¹ × 5³ × 7¹ × 17¹

Step-2: Prime Factorization of 44639

Prime factors of 44639 are 7, 911. Prime factorization of 44639 in exponential form is:

44639 = 7² × 911¹

Step-3: Factors of 44625

List of positive integer factors of 44625 that divides 44625 without a remainder.

1, 3, 5, 7, 15, 17, 21, 25, 35, 51, 75, 85, 105, 119, 125, 175, 255, 357, 375, 425, 525, 595, 875, 1275, 1785, 2125, 2625, 2975, 6375, 8925, 14875

Step-4: Factors of 44639

List of positive integer factors of 44639 that divides 44625 without a remainder.

1, 7, 49, 911, 6377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44625 and 44639. The biggest common factor number is the GCF number.
So the greatest common factor 44625 and 44639 is 7.

Also check out the Least Common Multiple of 44625 and 44639