What is the Greatest Common Factor of 96076 and 96089?

Greatest common factor (GCF) of 96076 and 96089 is 1.

GCF(96076,96089) = 1

We will now calculate the prime factors of 96076 and 96089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96076 and 96089.

How to find the GCF of 96076 and 96089?

We will first find the prime factorization of 96076 and 96089. After we will calculate the factors of 96076 and 96089 and find the biggest common factor number .

Step-1: Prime Factorization of 96076

Prime factors of 96076 are 2, 24019. Prime factorization of 96076 in exponential form is:

96076 = 2² × 24019¹

Step-2: Prime Factorization of 96089

Prime factors of 96089 are 7, 37, 53. Prime factorization of 96089 in exponential form is:

96089 = 7² × 37¹ × 53¹

Step-3: Factors of 96076

List of positive integer factors of 96076 that divides 96076 without a remainder.

1, 2, 4, 24019, 48038

Step-4: Factors of 96089

List of positive integer factors of 96089 that divides 96076 without a remainder.

1, 7, 37, 49, 53, 259, 371, 1813, 1961, 2597, 13727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96076 and 96089. The biggest common factor number is the GCF number.
So the greatest common factor 96076 and 96089 is 1.

Also check out the Least Common Multiple of 96076 and 96089