What is the Greatest Common Factor of 84339 and 84357?

Greatest common factor (GCF) of 84339 and 84357 is 9.

GCF(84339,84357) = 9

We will now calculate the prime factors of 84339 and 84357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84339 and 84357.

How to find the GCF of 84339 and 84357?

We will first find the prime factorization of 84339 and 84357. After we will calculate the factors of 84339 and 84357 and find the biggest common factor number .

Step-1: Prime Factorization of 84339

Prime factors of 84339 are 3, 9371. Prime factorization of 84339 in exponential form is:

84339 = 3² × 9371¹

Step-2: Prime Factorization of 84357

Prime factors of 84357 are 3, 7, 13, 103. Prime factorization of 84357 in exponential form is:

84357 = 3² × 7¹ × 13¹ × 103¹

Step-3: Factors of 84339

List of positive integer factors of 84339 that divides 84339 without a remainder.

1, 3, 9, 9371, 28113

Step-4: Factors of 84357

List of positive integer factors of 84357 that divides 84339 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 103, 117, 273, 309, 721, 819, 927, 1339, 2163, 4017, 6489, 9373, 12051, 28119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84339 and 84357. The biggest common factor number is the GCF number.
So the greatest common factor 84339 and 84357 is 9.

Also check out the Least Common Multiple of 84339 and 84357