What is the Greatest Common Factor of 92275 and 92280?

Greatest common factor (GCF) of 92275 and 92280 is 5.

GCF(92275,92280) = 5

We will now calculate the prime factors of 92275 and 92280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92275 and 92280.

How to find the GCF of 92275 and 92280?

We will first find the prime factorization of 92275 and 92280. After we will calculate the factors of 92275 and 92280 and find the biggest common factor number .

Step-1: Prime Factorization of 92275

Prime factors of 92275 are 5, 3691. Prime factorization of 92275 in exponential form is:

92275 = 5² × 3691¹

Step-2: Prime Factorization of 92280

Prime factors of 92280 are 2, 3, 5, 769. Prime factorization of 92280 in exponential form is:

92280 = 2³ × 3¹ × 5¹ × 769¹

Step-3: Factors of 92275

List of positive integer factors of 92275 that divides 92275 without a remainder.

1, 5, 25, 3691, 18455

Step-4: Factors of 92280

List of positive integer factors of 92280 that divides 92275 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 769, 1538, 2307, 3076, 3845, 4614, 6152, 7690, 9228, 11535, 15380, 18456, 23070, 30760, 46140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92275 and 92280. The biggest common factor number is the GCF number.
So the greatest common factor 92275 and 92280 is 5.

Also check out the Least Common Multiple of 92275 and 92280