What is the Greatest Common Factor of 84249 and 84256?

Greatest common factor (GCF) of 84249 and 84256 is 1.

GCF(84249,84256) = 1

We will now calculate the prime factors of 84249 and 84256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84249 and 84256.

How to find the GCF of 84249 and 84256?

We will first find the prime factorization of 84249 and 84256. After we will calculate the factors of 84249 and 84256 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 84256

Prime factors of 84256 are 2, 2633. Prime factorization of 84256 in exponential form is:

84256 = 2⁵ × 2633¹

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 84256

List of positive integer factors of 84256 that divides 84249 without a remainder.

1, 2, 4, 8, 16, 32, 2633, 5266, 10532, 21064, 42128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84249 and 84256. The biggest common factor number is the GCF number.
So the greatest common factor 84249 and 84256 is 1.

Also check out the Least Common Multiple of 84249 and 84256