What is the Greatest Common Factor of 78209 and 78226?

Greatest common factor (GCF) of 78209 and 78226 is 1.

GCF(78209,78226) = 1

We will now calculate the prime factors of 78209 and 78226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78209 and 78226.

How to find the GCF of 78209 and 78226?

We will first find the prime factorization of 78209 and 78226. After we will calculate the factors of 78209 and 78226 and find the biggest common factor number .

Step-1: Prime Factorization of 78209

Prime factors of 78209 are 197, 397. Prime factorization of 78209 in exponential form is:

78209 = 197¹ × 397¹

Step-2: Prime Factorization of 78226

Prime factors of 78226 are 2, 39113. Prime factorization of 78226 in exponential form is:

78226 = 2¹ × 39113¹

Step-3: Factors of 78209

List of positive integer factors of 78209 that divides 78209 without a remainder.

1, 197, 397

Step-4: Factors of 78226

List of positive integer factors of 78226 that divides 78209 without a remainder.

1, 2, 39113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78209 and 78226. The biggest common factor number is the GCF number.
So the greatest common factor 78209 and 78226 is 1.

Also check out the Least Common Multiple of 78209 and 78226