What is the Greatest Common Factor of 84209 and 84226?

Greatest common factor (GCF) of 84209 and 84226 is 1.

GCF(84209,84226) = 1

We will now calculate the prime factors of 84209 and 84226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84209 and 84226.

How to find the GCF of 84209 and 84226?

We will first find the prime factorization of 84209 and 84226. After we will calculate the factors of 84209 and 84226 and find the biggest common factor number .

Step-1: Prime Factorization of 84209

Prime factors of 84209 are 107, 787. Prime factorization of 84209 in exponential form is:

84209 = 107¹ × 787¹

Step-2: Prime Factorization of 84226

Prime factors of 84226 are 2, 23, 1831. Prime factorization of 84226 in exponential form is:

84226 = 2¹ × 23¹ × 1831¹

Step-3: Factors of 84209

List of positive integer factors of 84209 that divides 84209 without a remainder.

1, 107, 787

Step-4: Factors of 84226

List of positive integer factors of 84226 that divides 84209 without a remainder.

1, 2, 23, 46, 1831, 3662, 42113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84209 and 84226. The biggest common factor number is the GCF number.
So the greatest common factor 84209 and 84226 is 1.

Also check out the Least Common Multiple of 84209 and 84226