What is the Greatest Common Factor of 84246 and 84265?

Greatest common factor (GCF) of 84246 and 84265 is 19.

GCF(84246,84265) = 19

We will now calculate the prime factors of 84246 and 84265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84246 and 84265.

How to find the GCF of 84246 and 84265?

We will first find the prime factorization of 84246 and 84265. After we will calculate the factors of 84246 and 84265 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84265

Prime factors of 84265 are 5, 19, 887. Prime factorization of 84265 in exponential form is:

84265 = 5¹ × 19¹ × 887¹

Step-3: Factors of 84246

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

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

Step-4: Factors of 84265

List of positive integer factors of 84265 that divides 84246 without a remainder.

1, 5, 19, 95, 887, 4435, 16853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84246 and 84265. The biggest common factor number is the GCF number.
So the greatest common factor 84246 and 84265 is 19.

Also check out the Least Common Multiple of 84246 and 84265