What is the Greatest Common Factor of 78197 and 78211?

Greatest common factor (GCF) of 78197 and 78211 is 7.

GCF(78197,78211) = 7

We will now calculate the prime factors of 78197 and 78211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78197 and 78211.

How to find the GCF of 78197 and 78211?

We will first find the prime factorization of 78197 and 78211. After we will calculate the factors of 78197 and 78211 and find the biggest common factor number .

Step-1: Prime Factorization of 78197

Prime factors of 78197 are 7, 11171. Prime factorization of 78197 in exponential form is:

78197 = 7¹ × 11171¹

Step-2: Prime Factorization of 78211

Prime factors of 78211 are 7, 11173. Prime factorization of 78211 in exponential form is:

78211 = 7¹ × 11173¹

Step-3: Factors of 78197

List of positive integer factors of 78197 that divides 78197 without a remainder.

1, 7, 11171

Step-4: Factors of 78211

List of positive integer factors of 78211 that divides 78197 without a remainder.

1, 7, 11173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78197 and 78211. The biggest common factor number is the GCF number.
So the greatest common factor 78197 and 78211 is 7.

Also check out the Least Common Multiple of 78197 and 78211