What is the Greatest Common Factor of 92989 and 93008?

Greatest common factor (GCF) of 92989 and 93008 is 1.

GCF(92989,93008) = 1

We will now calculate the prime factors of 92989 and 93008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92989 and 93008.

How to find the GCF of 92989 and 93008?

We will first find the prime factorization of 92989 and 93008. After we will calculate the factors of 92989 and 93008 and find the biggest common factor number .

Step-1: Prime Factorization of 92989

Prime factors of 92989 are 13, 23, 311. Prime factorization of 92989 in exponential form is:

92989 = 13¹ × 23¹ × 311¹

Step-2: Prime Factorization of 93008

Prime factors of 93008 are 2, 5813. Prime factorization of 93008 in exponential form is:

93008 = 2⁴ × 5813¹

Step-3: Factors of 92989

List of positive integer factors of 92989 that divides 92989 without a remainder.

1, 13, 23, 299, 311, 4043, 7153

Step-4: Factors of 93008

List of positive integer factors of 93008 that divides 92989 without a remainder.

1, 2, 4, 8, 16, 5813, 11626, 23252, 46504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92989 and 93008. The biggest common factor number is the GCF number.
So the greatest common factor 92989 and 93008 is 1.

Also check out the Least Common Multiple of 92989 and 93008