What is the Greatest Common Factor of 78198 and 78207?

Greatest common factor (GCF) of 78198 and 78207 is 3.

GCF(78198,78207) = 3

We will now calculate the prime factors of 78198 and 78207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78198 and 78207.

How to find the GCF of 78198 and 78207?

We will first find the prime factorization of 78198 and 78207. After we will calculate the factors of 78198 and 78207 and find the biggest common factor number .

Step-1: Prime Factorization of 78198

Prime factors of 78198 are 2, 3, 13033. Prime factorization of 78198 in exponential form is:

78198 = 2¹ × 3¹ × 13033¹

Step-2: Prime Factorization of 78207

Prime factors of 78207 are 3, 131, 199. Prime factorization of 78207 in exponential form is:

78207 = 3¹ × 131¹ × 199¹

Step-3: Factors of 78198

List of positive integer factors of 78198 that divides 78198 without a remainder.

1, 2, 3, 6, 13033, 26066, 39099

Step-4: Factors of 78207

List of positive integer factors of 78207 that divides 78198 without a remainder.

1, 3, 131, 199, 393, 597, 26069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78198 and 78207. The biggest common factor number is the GCF number.
So the greatest common factor 78198 and 78207 is 3.

Also check out the Least Common Multiple of 78198 and 78207