What is the Greatest Common Factor of 76065 and 76073?

Greatest common factor (GCF) of 76065 and 76073 is 1.

GCF(76065,76073) = 1

We will now calculate the prime factors of 76065 and 76073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76065 and 76073.

How to find the GCF of 76065 and 76073?

We will first find the prime factorization of 76065 and 76073. After we will calculate the factors of 76065 and 76073 and find the biggest common factor number .

Step-1: Prime Factorization of 76065

Prime factors of 76065 are 3, 5, 11, 461. Prime factorization of 76065 in exponential form is:

76065 = 3¹ × 5¹ × 11¹ × 461¹

Step-2: Prime Factorization of 76073

Prime factors of 76073 are 127, 599. Prime factorization of 76073 in exponential form is:

76073 = 127¹ × 599¹

Step-3: Factors of 76065

List of positive integer factors of 76065 that divides 76065 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 461, 1383, 2305, 5071, 6915, 15213, 25355

Step-4: Factors of 76073

List of positive integer factors of 76073 that divides 76065 without a remainder.

1, 127, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76065 and 76073. The biggest common factor number is the GCF number.
So the greatest common factor 76065 and 76073 is 1.

Also check out the Least Common Multiple of 76065 and 76073