What is the Greatest Common Factor of 84249 and 84261?

Greatest common factor (GCF) of 84249 and 84261 is 3.

GCF(84249,84261) = 3

We will now calculate the prime factors of 84249 and 84261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84249 and 84261.

How to find the GCF of 84249 and 84261?

We will first find the prime factorization of 84249 and 84261. After we will calculate the factors of 84249 and 84261 and find the biggest common factor number .

Step-1: Prime Factorization of 84249

Prime factors of 84249 are 3, 11, 23, 37. Prime factorization of 84249 in exponential form is:

84249 = 3² × 11¹ × 23¹ × 37¹

Step-2: Prime Factorization of 84261

Prime factors of 84261 are 3, 28087. Prime factorization of 84261 in exponential form is:

84261 = 3¹ × 28087¹

Step-3: Factors of 84249

List of positive integer factors of 84249 that divides 84249 without a remainder.

1, 3, 9, 11, 23, 33, 37, 69, 99, 111, 207, 253, 333, 407, 759, 851, 1221, 2277, 2553, 3663, 7659, 9361, 28083

Step-4: Factors of 84261

List of positive integer factors of 84261 that divides 84249 without a remainder.

1, 3, 28087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84249 and 84261. The biggest common factor number is the GCF number.
So the greatest common factor 84249 and 84261 is 3.

Also check out the Least Common Multiple of 84249 and 84261