What is the Greatest Common Factor of 44625 and 44634?

Greatest common factor (GCF) of 44625 and 44634 is 3.

GCF(44625,44634) = 3

We will now calculate the prime factors of 44625 and 44634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44625 and 44634.

How to find the GCF of 44625 and 44634?

We will first find the prime factorization of 44625 and 44634. After we will calculate the factors of 44625 and 44634 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 44634

Prime factors of 44634 are 2, 3, 43, 173. Prime factorization of 44634 in exponential form is:

44634 = 2¹ × 3¹ × 43¹ × 173¹

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 44634

List of positive integer factors of 44634 that divides 44625 without a remainder.

1, 2, 3, 6, 43, 86, 129, 173, 258, 346, 519, 1038, 7439, 14878, 22317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44625 and 44634. The biggest common factor number is the GCF number.
So the greatest common factor 44625 and 44634 is 3.

Also check out the Least Common Multiple of 44625 and 44634