What is the Greatest Common Factor of 44607 and 44625?

Greatest common factor (GCF) of 44607 and 44625 is 3.

GCF(44607,44625) = 3

We will now calculate the prime factors of 44607 and 44625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44607 and 44625.

How to find the GCF of 44607 and 44625?

We will first find the prime factorization of 44607 and 44625. After we will calculate the factors of 44607 and 44625 and find the biggest common factor number .

Step-1: Prime Factorization of 44607

Prime factors of 44607 are 3, 14869. Prime factorization of 44607 in exponential form is:

44607 = 3¹ × 14869¹

Step-2: 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-3: Factors of 44607

List of positive integer factors of 44607 that divides 44607 without a remainder.

1, 3, 14869

Step-4: Factors of 44625

List of positive integer factors of 44625 that divides 44607 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44607 and 44625. The biggest common factor number is the GCF number.
So the greatest common factor 44607 and 44625 is 3.

Also check out the Least Common Multiple of 44607 and 44625