What is the Greatest Common Factor of 90625 and 90632?

Greatest common factor (GCF) of 90625 and 90632 is 1.

GCF(90625,90632) = 1

We will now calculate the prime factors of 90625 and 90632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90625 and 90632.

How to find the GCF of 90625 and 90632?

We will first find the prime factorization of 90625 and 90632. After we will calculate the factors of 90625 and 90632 and find the biggest common factor number .

Step-1: Prime Factorization of 90625

Prime factors of 90625 are 5, 29. Prime factorization of 90625 in exponential form is:

90625 = 5⁵ × 29¹

Step-2: Prime Factorization of 90632

Prime factors of 90632 are 2, 11329. Prime factorization of 90632 in exponential form is:

90632 = 2³ × 11329¹

Step-3: Factors of 90625

List of positive integer factors of 90625 that divides 90625 without a remainder.

1, 5, 25, 29, 125, 145, 625, 725, 3125, 3625, 18125

Step-4: Factors of 90632

List of positive integer factors of 90632 that divides 90625 without a remainder.

1, 2, 4, 8, 11329, 22658, 45316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90625 and 90632. The biggest common factor number is the GCF number.
So the greatest common factor 90625 and 90632 is 1.

Also check out the Least Common Multiple of 90625 and 90632