What is the Greatest Common Factor of 84237 and 84246?

Greatest common factor (GCF) of 84237 and 84246 is 3.

GCF(84237,84246) = 3

We will now calculate the prime factors of 84237 and 84246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84237 and 84246.

How to find the GCF of 84237 and 84246?

We will first find the prime factorization of 84237 and 84246. After we will calculate the factors of 84237 and 84246 and find the biggest common factor number .

Step-1: Prime Factorization of 84237

Prime factors of 84237 are 3, 43, 653. Prime factorization of 84237 in exponential form is:

84237 = 3¹ × 43¹ × 653¹

Step-2: Prime Factorization of 84246

Prime factors of 84246 are 2, 3, 19, 739. Prime factorization of 84246 in exponential form is:

84246 = 2¹ × 3¹ × 19¹ × 739¹

Step-3: Factors of 84237

List of positive integer factors of 84237 that divides 84237 without a remainder.

1, 3, 43, 129, 653, 1959, 28079

Step-4: Factors of 84246

List of positive integer factors of 84246 that divides 84237 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 739, 1478, 2217, 4434, 14041, 28082, 42123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84237 and 84246. The biggest common factor number is the GCF number.
So the greatest common factor 84237 and 84246 is 3.

Also check out the Least Common Multiple of 84237 and 84246