What is the Greatest Common Factor of 76009 and 76028?

Greatest common factor (GCF) of 76009 and 76028 is 1.

GCF(76009,76028) = 1

We will now calculate the prime factors of 76009 and 76028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76009 and 76028.

How to find the GCF of 76009 and 76028?

We will first find the prime factorization of 76009 and 76028. After we will calculate the factors of 76009 and 76028 and find the biggest common factor number .

Step-1: Prime Factorization of 76009

Prime factors of 76009 are 29, 2621. Prime factorization of 76009 in exponential form is:

76009 = 29¹ × 2621¹

Step-2: Prime Factorization of 76028

Prime factors of 76028 are 2, 83, 229. Prime factorization of 76028 in exponential form is:

76028 = 2² × 83¹ × 229¹

Step-3: Factors of 76009

List of positive integer factors of 76009 that divides 76009 without a remainder.

1, 29, 2621

Step-4: Factors of 76028

List of positive integer factors of 76028 that divides 76009 without a remainder.

1, 2, 4, 83, 166, 229, 332, 458, 916, 19007, 38014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76009 and 76028. The biggest common factor number is the GCF number.
So the greatest common factor 76009 and 76028 is 1.

Also check out the Least Common Multiple of 76009 and 76028