What is the Greatest Common Factor of 76000 and 76015?

Greatest common factor (GCF) of 76000 and 76015 is 5.

GCF(76000,76015) = 5

We will now calculate the prime factors of 76000 and 76015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76000 and 76015.

How to find the GCF of 76000 and 76015?

We will first find the prime factorization of 76000 and 76015. After we will calculate the factors of 76000 and 76015 and find the biggest common factor number .

Step-1: Prime Factorization of 76000

Prime factors of 76000 are 2, 5, 19. Prime factorization of 76000 in exponential form is:

76000 = 2⁵ × 5³ × 19¹

Step-2: Prime Factorization of 76015

Prime factors of 76015 are 5, 23, 661. Prime factorization of 76015 in exponential form is:

76015 = 5¹ × 23¹ × 661¹

Step-3: Factors of 76000

List of positive integer factors of 76000 that divides 76000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 32, 38, 40, 50, 76, 80, 95, 100, 125, 152, 160, 190, 200, 250, 304, 380, 400, 475, 500, 608, 760, 800, 950, 1000, 1520, 1900, 2000, 2375, 3040, 3800, 4000, 4750, 7600, 9500, 15200, 19000, 38000

Step-4: Factors of 76015

List of positive integer factors of 76015 that divides 76000 without a remainder.

1, 5, 23, 115, 661, 3305, 15203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76000 and 76015. The biggest common factor number is the GCF number.
So the greatest common factor 76000 and 76015 is 5.

Also check out the Least Common Multiple of 76000 and 76015