What is the Greatest Common Factor of 84975 and 84981?

Greatest common factor (GCF) of 84975 and 84981 is 3.

GCF(84975,84981) = 3

We will now calculate the prime factors of 84975 and 84981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84975 and 84981.

How to find the GCF of 84975 and 84981?

We will first find the prime factorization of 84975 and 84981. After we will calculate the factors of 84975 and 84981 and find the biggest common factor number .

Step-1: Prime Factorization of 84975

Prime factors of 84975 are 3, 5, 11, 103. Prime factorization of 84975 in exponential form is:

84975 = 3¹ × 5² × 11¹ × 103¹

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 84975

List of positive integer factors of 84975 that divides 84975 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 103, 165, 275, 309, 515, 825, 1133, 1545, 2575, 3399, 5665, 7725, 16995, 28325

Step-4: Factors of 84981

List of positive integer factors of 84981 that divides 84975 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84975 and 84981. The biggest common factor number is the GCF number.
So the greatest common factor 84975 and 84981 is 3.

Also check out the Least Common Multiple of 84975 and 84981