What is the Greatest Common Factor of 84957 and 84963?

Greatest common factor (GCF) of 84957 and 84963 is 3.

GCF(84957,84963) = 3

We will now calculate the prime factors of 84957 and 84963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84957 and 84963.

How to find the GCF of 84957 and 84963?

We will first find the prime factorization of 84957 and 84963. After we will calculate the factors of 84957 and 84963 and find the biggest common factor number .

Step-1: Prime Factorization of 84957

Prime factors of 84957 are 3, 28319. Prime factorization of 84957 in exponential form is:

84957 = 3¹ × 28319¹

Step-2: Prime Factorization of 84963

Prime factors of 84963 are 3, 127, 223. Prime factorization of 84963 in exponential form is:

84963 = 3¹ × 127¹ × 223¹

Step-3: Factors of 84957

List of positive integer factors of 84957 that divides 84957 without a remainder.

1, 3, 28319

Step-4: Factors of 84963

List of positive integer factors of 84963 that divides 84957 without a remainder.

1, 3, 127, 223, 381, 669, 28321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84957 and 84963. The biggest common factor number is the GCF number.
So the greatest common factor 84957 and 84963 is 3.

Also check out the Least Common Multiple of 84957 and 84963