What is the Greatest Common Factor of 76089 and 76103?

Greatest common factor (GCF) of 76089 and 76103 is 1.

GCF(76089,76103) = 1

We will now calculate the prime factors of 76089 and 76103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76089 and 76103.

How to find the GCF of 76089 and 76103?

We will first find the prime factorization of 76089 and 76103. After we will calculate the factors of 76089 and 76103 and find the biggest common factor number .

Step-1: Prime Factorization of 76089

Prime factors of 76089 are 3, 13, 1951. Prime factorization of 76089 in exponential form is:

76089 = 3¹ × 13¹ × 1951¹

Step-2: Prime Factorization of 76103

Prime factors of 76103 are 76103. Prime factorization of 76103 in exponential form is:

76103 = 76103¹

Step-3: Factors of 76089

List of positive integer factors of 76089 that divides 76089 without a remainder.

1, 3, 13, 39, 1951, 5853, 25363

Step-4: Factors of 76103

List of positive integer factors of 76103 that divides 76089 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76089 and 76103. The biggest common factor number is the GCF number.
So the greatest common factor 76089 and 76103 is 1.

Also check out the Least Common Multiple of 76089 and 76103