What is the Greatest Common Factor of 75625 and 75635?

Greatest common factor (GCF) of 75625 and 75635 is 5.

GCF(75625,75635) = 5

We will now calculate the prime factors of 75625 and 75635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75625 and 75635.

How to find the GCF of 75625 and 75635?

We will first find the prime factorization of 75625 and 75635. After we will calculate the factors of 75625 and 75635 and find the biggest common factor number .

Step-1: Prime Factorization of 75625

Prime factors of 75625 are 5, 11. Prime factorization of 75625 in exponential form is:

75625 = 5⁴ × 11²

Step-2: Prime Factorization of 75635

Prime factors of 75635 are 5, 7, 2161. Prime factorization of 75635 in exponential form is:

75635 = 5¹ × 7¹ × 2161¹

Step-3: Factors of 75625

List of positive integer factors of 75625 that divides 75625 without a remainder.

1, 5, 11, 25, 55, 121, 125, 275, 605, 625, 1375, 3025, 6875, 15125

Step-4: Factors of 75635

List of positive integer factors of 75635 that divides 75625 without a remainder.

1, 5, 7, 35, 2161, 10805, 15127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75625 and 75635. The biggest common factor number is the GCF number.
So the greatest common factor 75625 and 75635 is 5.

Also check out the Least Common Multiple of 75625 and 75635