What is the Greatest Common Factor of 84975 and 84993?

Greatest common factor (GCF) of 84975 and 84993 is 3.

GCF(84975,84993) = 3

We will now calculate the prime factors of 84975 and 84993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84975 and 84993.

How to find the GCF of 84975 and 84993?

We will first find the prime factorization of 84975 and 84993. After we will calculate the factors of 84975 and 84993 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 84993

Prime factors of 84993 are 3, 41, 691. Prime factorization of 84993 in exponential form is:

84993 = 3¹ × 41¹ × 691¹

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 84993

List of positive integer factors of 84993 that divides 84975 without a remainder.

1, 3, 41, 123, 691, 2073, 28331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84975 and 84993. The biggest common factor number is the GCF number.
So the greatest common factor 84975 and 84993 is 3.

Also check out the Least Common Multiple of 84975 and 84993