What is the Greatest Common Factor of 90025 and 90038?

Greatest common factor (GCF) of 90025 and 90038 is 13.

GCF(90025,90038) = 13

We will now calculate the prime factors of 90025 and 90038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90025 and 90038.

How to find the GCF of 90025 and 90038?

We will first find the prime factorization of 90025 and 90038. After we will calculate the factors of 90025 and 90038 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 90038

Prime factors of 90038 are 2, 13, 3463. Prime factorization of 90038 in exponential form is:

90038 = 2¹ × 13¹ × 3463¹

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 90038

List of positive integer factors of 90038 that divides 90025 without a remainder.

1, 2, 13, 26, 3463, 6926, 45019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90025 and 90038. The biggest common factor number is the GCF number.
So the greatest common factor 90025 and 90038 is 13.

Also check out the Least Common Multiple of 90025 and 90038