What is the Greatest Common Factor of 76197 and 76208?

Greatest common factor (GCF) of 76197 and 76208 is 11.

GCF(76197,76208) = 11

We will now calculate the prime factors of 76197 and 76208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76197 and 76208.

How to find the GCF of 76197 and 76208?

We will first find the prime factorization of 76197 and 76208. After we will calculate the factors of 76197 and 76208 and find the biggest common factor number .

Step-1: Prime Factorization of 76197

Prime factors of 76197 are 3, 11, 2309. Prime factorization of 76197 in exponential form is:

76197 = 3¹ × 11¹ × 2309¹

Step-2: Prime Factorization of 76208

Prime factors of 76208 are 2, 11, 433. Prime factorization of 76208 in exponential form is:

76208 = 2⁴ × 11¹ × 433¹

Step-3: Factors of 76197

List of positive integer factors of 76197 that divides 76197 without a remainder.

1, 3, 11, 33, 2309, 6927, 25399

Step-4: Factors of 76208

List of positive integer factors of 76208 that divides 76197 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 433, 866, 1732, 3464, 4763, 6928, 9526, 19052, 38104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76197 and 76208. The biggest common factor number is the GCF number.
So the greatest common factor 76197 and 76208 is 11.

Also check out the Least Common Multiple of 76197 and 76208