What is the Greatest Common Factor of 78189 and 78198?

Greatest common factor (GCF) of 78189 and 78198 is 3.

GCF(78189,78198) = 3

We will now calculate the prime factors of 78189 and 78198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78189 and 78198.

How to find the GCF of 78189 and 78198?

We will first find the prime factorization of 78189 and 78198. After we will calculate the factors of 78189 and 78198 and find the biggest common factor number .

Step-1: Prime Factorization of 78189

Prime factors of 78189 are 3, 67, 389. Prime factorization of 78189 in exponential form is:

78189 = 3¹ × 67¹ × 389¹

Step-2: 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-3: Factors of 78189

List of positive integer factors of 78189 that divides 78189 without a remainder.

1, 3, 67, 201, 389, 1167, 26063

Step-4: Factors of 78198

List of positive integer factors of 78198 that divides 78189 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78189 and 78198. The biggest common factor number is the GCF number.
So the greatest common factor 78189 and 78198 is 3.

Also check out the Least Common Multiple of 78189 and 78198