What is the Greatest Common Factor of 76005 and 76025?

Greatest common factor (GCF) of 76005 and 76025 is 5.

GCF(76005,76025) = 5

We will now calculate the prime factors of 76005 and 76025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76005 and 76025.

How to find the GCF of 76005 and 76025?

We will first find the prime factorization of 76005 and 76025. After we will calculate the factors of 76005 and 76025 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 76025

Prime factors of 76025 are 5, 3041. Prime factorization of 76025 in exponential form is:

76025 = 5² × 3041¹

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 76025

List of positive integer factors of 76025 that divides 76005 without a remainder.

1, 5, 25, 3041, 15205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76005 and 76025. The biggest common factor number is the GCF number.
So the greatest common factor 76005 and 76025 is 5.

Also check out the Least Common Multiple of 76005 and 76025