What is the Greatest Common Factor of 77208 and 77218?

Greatest common factor (GCF) of 77208 and 77218 is 2.

GCF(77208,77218) = 2

We will now calculate the prime factors of 77208 and 77218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77208 and 77218.

How to find the GCF of 77208 and 77218?

We will first find the prime factorization of 77208 and 77218. After we will calculate the factors of 77208 and 77218 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77218

Prime factors of 77218 are 2, 38609. Prime factorization of 77218 in exponential form is:

77218 = 2¹ × 38609¹

Step-3: Factors of 77208

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

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

Step-4: Factors of 77218

List of positive integer factors of 77218 that divides 77208 without a remainder.

1, 2, 38609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77208 and 77218. The biggest common factor number is the GCF number.
So the greatest common factor 77208 and 77218 is 2.

Also check out the Least Common Multiple of 77208 and 77218