What is the Greatest Common Factor of 84964 and 84975?

Greatest common factor (GCF) of 84964 and 84975 is 11.

GCF(84964,84975) = 11

We will now calculate the prime factors of 84964 and 84975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84964 and 84975.

How to find the GCF of 84964 and 84975?

We will first find the prime factorization of 84964 and 84975. After we will calculate the factors of 84964 and 84975 and find the biggest common factor number .

Step-1: Prime Factorization of 84964

Prime factors of 84964 are 2, 11, 1931. Prime factorization of 84964 in exponential form is:

84964 = 2² × 11¹ × 1931¹

Step-2: 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-3: Factors of 84964

List of positive integer factors of 84964 that divides 84964 without a remainder.

1, 2, 4, 11, 22, 44, 1931, 3862, 7724, 21241, 42482

Step-4: Factors of 84975

List of positive integer factors of 84975 that divides 84964 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84964 and 84975. The biggest common factor number is the GCF number.
So the greatest common factor 84964 and 84975 is 11.

Also check out the Least Common Multiple of 84964 and 84975