What is the Greatest Common Factor of 84975 and 84984?

Greatest common factor (GCF) of 84975 and 84984 is 3.

GCF(84975,84984) = 3

We will now calculate the prime factors of 84975 and 84984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84975 and 84984.

How to find the GCF of 84975 and 84984?

We will first find the prime factorization of 84975 and 84984. After we will calculate the factors of 84975 and 84984 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 84984

Prime factors of 84984 are 2, 3, 3541. Prime factorization of 84984 in exponential form is:

84984 = 2³ × 3¹ × 3541¹

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 84984

List of positive integer factors of 84984 that divides 84975 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3541, 7082, 10623, 14164, 21246, 28328, 42492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84975 and 84984. The biggest common factor number is the GCF number.
So the greatest common factor 84975 and 84984 is 3.

Also check out the Least Common Multiple of 84975 and 84984