What is the Greatest Common Factor of 77198 and 77213?

Greatest common factor (GCF) of 77198 and 77213 is 1.

GCF(77198,77213) = 1

We will now calculate the prime factors of 77198 and 77213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77198 and 77213.

How to find the GCF of 77198 and 77213?

We will first find the prime factorization of 77198 and 77213. After we will calculate the factors of 77198 and 77213 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77213

Prime factors of 77213 are 77213. Prime factorization of 77213 in exponential form is:

77213 = 77213¹

Step-3: Factors of 77198

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

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

Step-4: Factors of 77213

List of positive integer factors of 77213 that divides 77198 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77198 and 77213. The biggest common factor number is the GCF number.
So the greatest common factor 77198 and 77213 is 1.

Also check out the Least Common Multiple of 77198 and 77213