What is the Greatest Common Factor of 77187 and 77198?

Greatest common factor (GCF) of 77187 and 77198 is 11.

GCF(77187,77198) = 11

We will now calculate the prime factors of 77187 and 77198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77187 and 77198.

How to find the GCF of 77187 and 77198?

We will first find the prime factorization of 77187 and 77198. After we will calculate the factors of 77187 and 77198 and find the biggest common factor number .

Step-1: Prime Factorization of 77187

Prime factors of 77187 are 3, 11, 2339. Prime factorization of 77187 in exponential form is:

77187 = 3¹ × 11¹ × 2339¹

Step-2: Prime Factorization of 77198

Prime factors of 77198 are 2, 11, 29. Prime factorization of 77198 in exponential form is:

77198 = 2¹ × 11³ × 29¹

Step-3: Factors of 77187

List of positive integer factors of 77187 that divides 77187 without a remainder.

1, 3, 11, 33, 2339, 7017, 25729

Step-4: Factors of 77198

List of positive integer factors of 77198 that divides 77187 without a remainder.

1, 2, 11, 22, 29, 58, 121, 242, 319, 638, 1331, 2662, 3509, 7018, 38599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77187 and 77198. The biggest common factor number is the GCF number.
So the greatest common factor 77187 and 77198 is 11.

Also check out the Least Common Multiple of 77187 and 77198