What is the Greatest Common Factor of 92280 and 92298?

Greatest common factor (GCF) of 92280 and 92298 is 6.

GCF(92280,92298) = 6

We will now calculate the prime factors of 92280 and 92298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92280 and 92298.

How to find the GCF of 92280 and 92298?

We will first find the prime factorization of 92280 and 92298. After we will calculate the factors of 92280 and 92298 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92298

Prime factors of 92298 are 2, 3, 15383. Prime factorization of 92298 in exponential form is:

92298 = 2¹ × 3¹ × 15383¹

Step-3: Factors of 92280

List of positive integer factors of 92280 that divides 92280 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

Step-4: Factors of 92298

List of positive integer factors of 92298 that divides 92280 without a remainder.

1, 2, 3, 6, 15383, 30766, 46149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92280 and 92298. The biggest common factor number is the GCF number.
So the greatest common factor 92280 and 92298 is 6.

Also check out the Least Common Multiple of 92280 and 92298