What is the Greatest Common Factor of 78196 and 78209?

Greatest common factor (GCF) of 78196 and 78209 is 1.

GCF(78196,78209) = 1

We will now calculate the prime factors of 78196 and 78209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78196 and 78209.

How to find the GCF of 78196 and 78209?

We will first find the prime factorization of 78196 and 78209. After we will calculate the factors of 78196 and 78209 and find the biggest common factor number .

Step-1: Prime Factorization of 78196

Prime factors of 78196 are 2, 113, 173. Prime factorization of 78196 in exponential form is:

78196 = 2² × 113¹ × 173¹

Step-2: Prime Factorization of 78209

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

78209 = 197¹ × 397¹

Step-3: Factors of 78196

List of positive integer factors of 78196 that divides 78196 without a remainder.

1, 2, 4, 113, 173, 226, 346, 452, 692, 19549, 39098

Step-4: Factors of 78209

List of positive integer factors of 78209 that divides 78196 without a remainder.

1, 197, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78196 and 78209. The biggest common factor number is the GCF number.
So the greatest common factor 78196 and 78209 is 1.

Also check out the Least Common Multiple of 78196 and 78209