What is the Greatest Common Factor of 77198 and 77217?

Greatest common factor (GCF) of 77198 and 77217 is 1.

GCF(77198,77217) = 1

We will now calculate the prime factors of 77198 and 77217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77198 and 77217.

How to find the GCF of 77198 and 77217?

We will first find the prime factorization of 77198 and 77217. After we will calculate the factors of 77198 and 77217 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 77217

Prime factors of 77217 are 3, 7, 3677. Prime factorization of 77217 in exponential form is:

77217 = 3¹ × 7¹ × 3677¹

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 77217

List of positive integer factors of 77217 that divides 77198 without a remainder.

1, 3, 7, 21, 3677, 11031, 25739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77198 and 77217. The biggest common factor number is the GCF number.
So the greatest common factor 77198 and 77217 is 1.

Also check out the Least Common Multiple of 77198 and 77217