What is the Greatest Common Factor of 34625 and 34635?

Greatest common factor (GCF) of 34625 and 34635 is 5.

GCF(34625,34635) = 5

We will now calculate the prime factors of 34625 and 34635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34625 and 34635.

How to find the GCF of 34625 and 34635?

We will first find the prime factorization of 34625 and 34635. After we will calculate the factors of 34625 and 34635 and find the biggest common factor number .

Step-1: Prime Factorization of 34625

Prime factors of 34625 are 5, 277. Prime factorization of 34625 in exponential form is:

34625 = 5³ × 277¹

Step-2: Prime Factorization of 34635

Prime factors of 34635 are 3, 5, 2309. Prime factorization of 34635 in exponential form is:

34635 = 3¹ × 5¹ × 2309¹

Step-3: Factors of 34625

List of positive integer factors of 34625 that divides 34625 without a remainder.

1, 5, 25, 125, 277, 1385, 6925

Step-4: Factors of 34635

List of positive integer factors of 34635 that divides 34625 without a remainder.

1, 3, 5, 15, 2309, 6927, 11545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34625 and 34635. The biggest common factor number is the GCF number.
So the greatest common factor 34625 and 34635 is 5.

Also check out the Least Common Multiple of 34625 and 34635