What is the Greatest Common Factor of 77208 and 77223?

Greatest common factor (GCF) of 77208 and 77223 is 3.

GCF(77208,77223) = 3

We will now calculate the prime factors of 77208 and 77223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77208 and 77223.

How to find the GCF of 77208 and 77223?

We will first find the prime factorization of 77208 and 77223. After we will calculate the factors of 77208 and 77223 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 77223

Prime factors of 77223 are 3, 25741. Prime factorization of 77223 in exponential form is:

77223 = 3¹ × 25741¹

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 77223

List of positive integer factors of 77223 that divides 77208 without a remainder.

1, 3, 25741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77208 and 77223. The biggest common factor number is the GCF number.
So the greatest common factor 77208 and 77223 is 3.

Also check out the Least Common Multiple of 77208 and 77223