What is the Greatest Common Factor of 84954 and 84969?

Greatest common factor (GCF) of 84954 and 84969 is 3.

GCF(84954,84969) = 3

We will now calculate the prime factors of 84954 and 84969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84954 and 84969.

How to find the GCF of 84954 and 84969?

We will first find the prime factorization of 84954 and 84969. After we will calculate the factors of 84954 and 84969 and find the biggest common factor number .

Step-1: Prime Factorization of 84954

Prime factors of 84954 are 2, 3, 14159. Prime factorization of 84954 in exponential form is:

84954 = 2¹ × 3¹ × 14159¹

Step-2: Prime Factorization of 84969

Prime factors of 84969 are 3, 1049. Prime factorization of 84969 in exponential form is:

84969 = 3⁴ × 1049¹

Step-3: Factors of 84954

List of positive integer factors of 84954 that divides 84954 without a remainder.

1, 2, 3, 6, 14159, 28318, 42477

Step-4: Factors of 84969

List of positive integer factors of 84969 that divides 84954 without a remainder.

1, 3, 9, 27, 81, 1049, 3147, 9441, 28323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84954 and 84969. The biggest common factor number is the GCF number.
So the greatest common factor 84954 and 84969 is 3.

Also check out the Least Common Multiple of 84954 and 84969