What is the Greatest Common Factor of 71625 and 71635?

Greatest common factor (GCF) of 71625 and 71635 is 5.

GCF(71625,71635) = 5

We will now calculate the prime factors of 71625 and 71635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71625 and 71635.

How to find the GCF of 71625 and 71635?

We will first find the prime factorization of 71625 and 71635. After we will calculate the factors of 71625 and 71635 and find the biggest common factor number .

Step-1: Prime Factorization of 71625

Prime factors of 71625 are 3, 5, 191. Prime factorization of 71625 in exponential form is:

71625 = 3¹ × 5³ × 191¹

Step-2: Prime Factorization of 71635

Prime factors of 71635 are 5, 14327. Prime factorization of 71635 in exponential form is:

71635 = 5¹ × 14327¹

Step-3: Factors of 71625

List of positive integer factors of 71625 that divides 71625 without a remainder.

1, 3, 5, 15, 25, 75, 125, 191, 375, 573, 955, 2865, 4775, 14325, 23875

Step-4: Factors of 71635

List of positive integer factors of 71635 that divides 71625 without a remainder.

1, 5, 14327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71625 and 71635. The biggest common factor number is the GCF number.
So the greatest common factor 71625 and 71635 is 5.

Also check out the Least Common Multiple of 71625 and 71635