What is the Greatest Common Factor of 84249 and 84262?

Greatest common factor (GCF) of 84249 and 84262 is 1.

GCF(84249,84262) = 1

We will now calculate the prime factors of 84249 and 84262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84249 and 84262.

How to find the GCF of 84249 and 84262?

We will first find the prime factorization of 84249 and 84262. After we will calculate the factors of 84249 and 84262 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 84262

Prime factors of 84262 are 2, 42131. Prime factorization of 84262 in exponential form is:

84262 = 2¹ × 42131¹

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 84262

List of positive integer factors of 84262 that divides 84249 without a remainder.

1, 2, 42131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84249 and 84262. The biggest common factor number is the GCF number.
So the greatest common factor 84249 and 84262 is 1.

Also check out the Least Common Multiple of 84249 and 84262