What is the Greatest Common Factor of 92280 and 92290?

Greatest common factor (GCF) of 92280 and 92290 is 10.

GCF(92280,92290) = 10

We will now calculate the prime factors of 92280 and 92290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92280 and 92290.

How to find the GCF of 92280 and 92290?

We will first find the prime factorization of 92280 and 92290. After we will calculate the factors of 92280 and 92290 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 92290

Prime factors of 92290 are 2, 5, 11, 839. Prime factorization of 92290 in exponential form is:

92290 = 2¹ × 5¹ × 11¹ × 839¹

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 92290

List of positive integer factors of 92290 that divides 92280 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 839, 1678, 4195, 8390, 9229, 18458, 46145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92280 and 92290. The biggest common factor number is the GCF number.
So the greatest common factor 92280 and 92290 is 10.

Also check out the Least Common Multiple of 92280 and 92290