What is the Greatest Common Factor of 92320 and 92339?

Greatest common factor (GCF) of 92320 and 92339 is 1.

GCF(92320,92339) = 1

We will now calculate the prime factors of 92320 and 92339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92320 and 92339.

How to find the GCF of 92320 and 92339?

We will first find the prime factorization of 92320 and 92339. After we will calculate the factors of 92320 and 92339 and find the biggest common factor number .

Step-1: Prime Factorization of 92320

Prime factors of 92320 are 2, 5, 577. Prime factorization of 92320 in exponential form is:

92320 = 2⁵ × 5¹ × 577¹

Step-2: Prime Factorization of 92339

Prime factors of 92339 are 13, 7103. Prime factorization of 92339 in exponential form is:

92339 = 13¹ × 7103¹

Step-3: Factors of 92320

List of positive integer factors of 92320 that divides 92320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 577, 1154, 2308, 2885, 4616, 5770, 9232, 11540, 18464, 23080, 46160

Step-4: Factors of 92339

List of positive integer factors of 92339 that divides 92320 without a remainder.

1, 13, 7103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92320 and 92339. The biggest common factor number is the GCF number.
So the greatest common factor 92320 and 92339 is 1.

Also check out the Least Common Multiple of 92320 and 92339