What is the Greatest Common Factor of 84357 and 84361?

Greatest common factor (GCF) of 84357 and 84361 is 1.

GCF(84357,84361) = 1

We will now calculate the prime factors of 84357 and 84361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84357 and 84361.

How to find the GCF of 84357 and 84361?

We will first find the prime factorization of 84357 and 84361. After we will calculate the factors of 84357 and 84361 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84361

Prime factors of 84361 are 29, 2909. Prime factorization of 84361 in exponential form is:

84361 = 29¹ × 2909¹

Step-3: Factors of 84357

List of positive integer factors of 84357 that divides 84357 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

Step-4: Factors of 84361

List of positive integer factors of 84361 that divides 84357 without a remainder.

1, 29, 2909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84357 and 84361. The biggest common factor number is the GCF number.
So the greatest common factor 84357 and 84361 is 1.

Also check out the Least Common Multiple of 84357 and 84361