What is the Greatest Common Factor of 92989 and 93001?

Greatest common factor (GCF) of 92989 and 93001 is 1.

GCF(92989,93001) = 1

We will now calculate the prime factors of 92989 and 93001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92989 and 93001.

How to find the GCF of 92989 and 93001?

We will first find the prime factorization of 92989 and 93001. After we will calculate the factors of 92989 and 93001 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 93001

Prime factors of 93001 are 93001. Prime factorization of 93001 in exponential form is:

93001 = 93001¹

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 93001

List of positive integer factors of 93001 that divides 92989 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92989 and 93001. The biggest common factor number is the GCF number.
So the greatest common factor 92989 and 93001 is 1.

Also check out the Least Common Multiple of 92989 and 93001