What is the Greatest Common Factor of 76208 and 76223?

Greatest common factor (GCF) of 76208 and 76223 is 1.

GCF(76208,76223) = 1

We will now calculate the prime factors of 76208 and 76223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76208 and 76223.

How to find the GCF of 76208 and 76223?

We will first find the prime factorization of 76208 and 76223. After we will calculate the factors of 76208 and 76223 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76223

Prime factors of 76223 are 7, 10889. Prime factorization of 76223 in exponential form is:

76223 = 7¹ × 10889¹

Step-3: Factors of 76208

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

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

Step-4: Factors of 76223

List of positive integer factors of 76223 that divides 76208 without a remainder.

1, 7, 10889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76208 and 76223. The biggest common factor number is the GCF number.
So the greatest common factor 76208 and 76223 is 1.

Also check out the Least Common Multiple of 76208 and 76223