What is the Greatest Common Factor of 73625 and 73635?

Greatest common factor (GCF) of 73625 and 73635 is 5.

GCF(73625,73635) = 5

We will now calculate the prime factors of 73625 and 73635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73625 and 73635.

How to find the GCF of 73625 and 73635?

We will first find the prime factorization of 73625 and 73635. After we will calculate the factors of 73625 and 73635 and find the biggest common factor number .

Step-1: Prime Factorization of 73625

Prime factors of 73625 are 5, 19, 31. Prime factorization of 73625 in exponential form is:

73625 = 5³ × 19¹ × 31¹

Step-2: Prime Factorization of 73635

Prime factors of 73635 are 3, 5, 4909. Prime factorization of 73635 in exponential form is:

73635 = 3¹ × 5¹ × 4909¹

Step-3: Factors of 73625

List of positive integer factors of 73625 that divides 73625 without a remainder.

1, 5, 19, 25, 31, 95, 125, 155, 475, 589, 775, 2375, 2945, 3875, 14725

Step-4: Factors of 73635

List of positive integer factors of 73635 that divides 73625 without a remainder.

1, 3, 5, 15, 4909, 14727, 24545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73625 and 73635. The biggest common factor number is the GCF number.
So the greatest common factor 73625 and 73635 is 5.

Also check out the Least Common Multiple of 73625 and 73635