What is the Greatest Common Factor of 90125 and 90145?

Greatest common factor (GCF) of 90125 and 90145 is 5.

GCF(90125,90145) = 5

We will now calculate the prime factors of 90125 and 90145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90125 and 90145.

How to find the GCF of 90125 and 90145?

We will first find the prime factorization of 90125 and 90145. After we will calculate the factors of 90125 and 90145 and find the biggest common factor number .

Step-1: Prime Factorization of 90125

Prime factors of 90125 are 5, 7, 103. Prime factorization of 90125 in exponential form is:

90125 = 5³ × 7¹ × 103¹

Step-2: Prime Factorization of 90145

Prime factors of 90145 are 5, 11, 149. Prime factorization of 90145 in exponential form is:

90145 = 5¹ × 11² × 149¹

Step-3: Factors of 90125

List of positive integer factors of 90125 that divides 90125 without a remainder.

1, 5, 7, 25, 35, 103, 125, 175, 515, 721, 875, 2575, 3605, 12875, 18025

Step-4: Factors of 90145

List of positive integer factors of 90145 that divides 90125 without a remainder.

1, 5, 11, 55, 121, 149, 605, 745, 1639, 8195, 18029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90125 and 90145. The biggest common factor number is the GCF number.
So the greatest common factor 90125 and 90145 is 5.

Also check out the Least Common Multiple of 90125 and 90145