What is the Greatest Common Factor of 92025 and 92045?

Greatest common factor (GCF) of 92025 and 92045 is 5.

GCF(92025,92045) = 5

We will now calculate the prime factors of 92025 and 92045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92025 and 92045.

How to find the GCF of 92025 and 92045?

We will first find the prime factorization of 92025 and 92045. After we will calculate the factors of 92025 and 92045 and find the biggest common factor number .

Step-1: Prime Factorization of 92025

Prime factors of 92025 are 3, 5, 409. Prime factorization of 92025 in exponential form is:

92025 = 3² × 5² × 409¹

Step-2: Prime Factorization of 92045

Prime factors of 92045 are 5, 41, 449. Prime factorization of 92045 in exponential form is:

92045 = 5¹ × 41¹ × 449¹

Step-3: Factors of 92025

List of positive integer factors of 92025 that divides 92025 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 409, 1227, 2045, 3681, 6135, 10225, 18405, 30675

Step-4: Factors of 92045

List of positive integer factors of 92045 that divides 92025 without a remainder.

1, 5, 41, 205, 449, 2245, 18409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92025 and 92045. The biggest common factor number is the GCF number.
So the greatest common factor 92025 and 92045 is 5.

Also check out the Least Common Multiple of 92025 and 92045