What is the Greatest Common Factor of 92025 and 92034?

Greatest common factor (GCF) of 92025 and 92034 is 9.

GCF(92025,92034) = 9

We will now calculate the prime factors of 92025 and 92034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92025 and 92034.

How to find the GCF of 92025 and 92034?

We will first find the prime factorization of 92025 and 92034. After we will calculate the factors of 92025 and 92034 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 92034

Prime factors of 92034 are 2, 3, 5113. Prime factorization of 92034 in exponential form is:

92034 = 2¹ × 3² × 5113¹

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 92034

List of positive integer factors of 92034 that divides 92025 without a remainder.

1, 2, 3, 6, 9, 18, 5113, 10226, 15339, 30678, 46017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92025 and 92034. The biggest common factor number is the GCF number.
So the greatest common factor 92025 and 92034 is 9.

Also check out the Least Common Multiple of 92025 and 92034