What is the Greatest Common Factor of 84981 and 84994?

Greatest common factor (GCF) of 84981 and 84994 is 13.

GCF(84981,84994) = 13

We will now calculate the prime factors of 84981 and 84994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84981 and 84994.

How to find the GCF of 84981 and 84994?

We will first find the prime factorization of 84981 and 84994. After we will calculate the factors of 84981 and 84994 and find the biggest common factor number .

Step-1: Prime Factorization of 84981

Prime factors of 84981 are 3, 13, 2179. Prime factorization of 84981 in exponential form is:

84981 = 3¹ × 13¹ × 2179¹

Step-2: Prime Factorization of 84994

Prime factors of 84994 are 2, 7, 13, 467. Prime factorization of 84994 in exponential form is:

84994 = 2¹ × 7¹ × 13¹ × 467¹

Step-3: Factors of 84981

List of positive integer factors of 84981 that divides 84981 without a remainder.

1, 3, 13, 39, 2179, 6537, 28327

Step-4: Factors of 84994

List of positive integer factors of 84994 that divides 84981 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 467, 934, 3269, 6071, 6538, 12142, 42497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84981 and 84994. The biggest common factor number is the GCF number.
So the greatest common factor 84981 and 84994 is 13.

Also check out the Least Common Multiple of 84981 and 84994