What is the Greatest Common Factor of 90025 and 90031?

Greatest common factor (GCF) of 90025 and 90031 is 1.

GCF(90025,90031) = 1

We will now calculate the prime factors of 90025 and 90031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90025 and 90031.

How to find the GCF of 90025 and 90031?

We will first find the prime factorization of 90025 and 90031. After we will calculate the factors of 90025 and 90031 and find the biggest common factor number .

Step-1: Prime Factorization of 90025

Prime factors of 90025 are 5, 13, 277. Prime factorization of 90025 in exponential form is:

90025 = 5² × 13¹ × 277¹

Step-2: Prime Factorization of 90031

Prime factors of 90031 are 90031. Prime factorization of 90031 in exponential form is:

90031 = 90031¹

Step-3: Factors of 90025

List of positive integer factors of 90025 that divides 90025 without a remainder.

1, 5, 13, 25, 65, 277, 325, 1385, 3601, 6925, 18005

Step-4: Factors of 90031

List of positive integer factors of 90031 that divides 90025 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90025 and 90031. The biggest common factor number is the GCF number.
So the greatest common factor 90025 and 90031 is 1.

Also check out the Least Common Multiple of 90025 and 90031