What is the Greatest Common Factor of 77198 and 77208?

Greatest common factor (GCF) of 77198 and 77208 is 2.

GCF(77198,77208) = 2

We will now calculate the prime factors of 77198 and 77208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77198 and 77208.

How to find the GCF of 77198 and 77208?

We will first find the prime factorization of 77198 and 77208. After we will calculate the factors of 77198 and 77208 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 77208

Prime factors of 77208 are 2, 3, 3217. Prime factorization of 77208 in exponential form is:

77208 = 2³ × 3¹ × 3217¹

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 77208

List of positive integer factors of 77208 that divides 77198 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3217, 6434, 9651, 12868, 19302, 25736, 38604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77198 and 77208. The biggest common factor number is the GCF number.
So the greatest common factor 77198 and 77208 is 2.

Also check out the Least Common Multiple of 77198 and 77208