What is the Greatest Common Factor of 84249 and 84269?

Greatest common factor (GCF) of 84249 and 84269 is 1.

GCF(84249,84269) = 1

We will now calculate the prime factors of 84249 and 84269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84249 and 84269.

How to find the GCF of 84249 and 84269?

We will first find the prime factorization of 84249 and 84269. After we will calculate the factors of 84249 and 84269 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 84269

Prime factors of 84269 are 17, 4957. Prime factorization of 84269 in exponential form is:

84269 = 17¹ × 4957¹

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 84269

List of positive integer factors of 84269 that divides 84249 without a remainder.

1, 17, 4957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84249 and 84269. The biggest common factor number is the GCF number.
So the greatest common factor 84249 and 84269 is 1.

Also check out the Least Common Multiple of 84249 and 84269