What is the Greatest Common Factor of 92967 and 92982?

Greatest common factor (GCF) of 92967 and 92982 is 3.

GCF(92967,92982) = 3

We will now calculate the prime factors of 92967 and 92982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92967 and 92982.

How to find the GCF of 92967 and 92982?

We will first find the prime factorization of 92967 and 92982. After we will calculate the factors of 92967 and 92982 and find the biggest common factor number .

Step-1: Prime Factorization of 92967

Prime factors of 92967 are 3, 7, 19, 233. Prime factorization of 92967 in exponential form is:

92967 = 3¹ × 7¹ × 19¹ × 233¹

Step-2: Prime Factorization of 92982

Prime factors of 92982 are 2, 3, 15497. Prime factorization of 92982 in exponential form is:

92982 = 2¹ × 3¹ × 15497¹

Step-3: Factors of 92967

List of positive integer factors of 92967 that divides 92967 without a remainder.

1, 3, 7, 19, 21, 57, 133, 233, 399, 699, 1631, 4427, 4893, 13281, 30989

Step-4: Factors of 92982

List of positive integer factors of 92982 that divides 92967 without a remainder.

1, 2, 3, 6, 15497, 30994, 46491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92967 and 92982. The biggest common factor number is the GCF number.
So the greatest common factor 92967 and 92982 is 3.

Also check out the Least Common Multiple of 92967 and 92982