What is the Greatest Common Factor of 69625 and 69635?

Greatest common factor (GCF) of 69625 and 69635 is 5.

GCF(69625,69635) = 5

We will now calculate the prime factors of 69625 and 69635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69625 and 69635.

How to find the GCF of 69625 and 69635?

We will first find the prime factorization of 69625 and 69635. After we will calculate the factors of 69625 and 69635 and find the biggest common factor number .

Step-1: Prime Factorization of 69625

Prime factors of 69625 are 5, 557. Prime factorization of 69625 in exponential form is:

69625 = 5³ × 557¹

Step-2: Prime Factorization of 69635

Prime factors of 69635 are 5, 19, 733. Prime factorization of 69635 in exponential form is:

69635 = 5¹ × 19¹ × 733¹

Step-3: Factors of 69625

List of positive integer factors of 69625 that divides 69625 without a remainder.

1, 5, 25, 125, 557, 2785, 13925

Step-4: Factors of 69635

List of positive integer factors of 69635 that divides 69625 without a remainder.

1, 5, 19, 95, 733, 3665, 13927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69625 and 69635. The biggest common factor number is the GCF number.
So the greatest common factor 69625 and 69635 is 5.

Also check out the Least Common Multiple of 69625 and 69635