What is the Greatest Common Factor of 92983 and 92994?

Greatest common factor (GCF) of 92983 and 92994 is 11.

GCF(92983,92994) = 11

We will now calculate the prime factors of 92983 and 92994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92983 and 92994.

How to find the GCF of 92983 and 92994?

We will first find the prime factorization of 92983 and 92994. After we will calculate the factors of 92983 and 92994 and find the biggest common factor number .

Step-1: Prime Factorization of 92983

Prime factors of 92983 are 11, 79, 107. Prime factorization of 92983 in exponential form is:

92983 = 11¹ × 79¹ × 107¹

Step-2: Prime Factorization of 92994

Prime factors of 92994 are 2, 3, 11, 1409. Prime factorization of 92994 in exponential form is:

92994 = 2¹ × 3¹ × 11¹ × 1409¹

Step-3: Factors of 92983

List of positive integer factors of 92983 that divides 92983 without a remainder.

1, 11, 79, 107, 869, 1177, 8453

Step-4: Factors of 92994

List of positive integer factors of 92994 that divides 92983 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1409, 2818, 4227, 8454, 15499, 30998, 46497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92983 and 92994. The biggest common factor number is the GCF number.
So the greatest common factor 92983 and 92994 is 11.

Also check out the Least Common Multiple of 92983 and 92994