What is the Greatest Common Factor of 76005 and 76023?

Greatest common factor (GCF) of 76005 and 76023 is 9.

GCF(76005,76023) = 9

We will now calculate the prime factors of 76005 and 76023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76005 and 76023.

How to find the GCF of 76005 and 76023?

We will first find the prime factorization of 76005 and 76023. After we will calculate the factors of 76005 and 76023 and find the biggest common factor number .

Step-1: Prime Factorization of 76005

Prime factors of 76005 are 3, 5, 563. Prime factorization of 76005 in exponential form is:

76005 = 3³ × 5¹ × 563¹

Step-2: Prime Factorization of 76023

Prime factors of 76023 are 3, 8447. Prime factorization of 76023 in exponential form is:

76023 = 3² × 8447¹

Step-3: Factors of 76005

List of positive integer factors of 76005 that divides 76005 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 563, 1689, 2815, 5067, 8445, 15201, 25335

Step-4: Factors of 76023

List of positive integer factors of 76023 that divides 76005 without a remainder.

1, 3, 9, 8447, 25341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76005 and 76023. The biggest common factor number is the GCF number.
So the greatest common factor 76005 and 76023 is 9.

Also check out the Least Common Multiple of 76005 and 76023