What is the Greatest Common Factor of 84966 and 84981?

Greatest common factor (GCF) of 84966 and 84981 is 3.

GCF(84966,84981) = 3

We will now calculate the prime factors of 84966 and 84981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84966 and 84981.

How to find the GCF of 84966 and 84981?

We will first find the prime factorization of 84966 and 84981. After we will calculate the factors of 84966 and 84981 and find the biggest common factor number .

Step-1: Prime Factorization of 84966

Prime factors of 84966 are 2, 3, 7, 17. Prime factorization of 84966 in exponential form is:

84966 = 2¹ × 3¹ × 7² × 17²

Step-2: 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-3: Factors of 84966

List of positive integer factors of 84966 that divides 84966 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 289, 294, 357, 578, 714, 833, 867, 1666, 1734, 2023, 2499, 4046, 4998, 6069, 12138, 14161, 28322, 42483

Step-4: Factors of 84981

List of positive integer factors of 84981 that divides 84966 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84966 and 84981. The biggest common factor number is the GCF number.
So the greatest common factor 84966 and 84981 is 3.

Also check out the Least Common Multiple of 84966 and 84981