What is the Greatest Common Factor of 76000 and 76020?

Greatest common factor (GCF) of 76000 and 76020 is 20.

GCF(76000,76020) = 20

We will now calculate the prime factors of 76000 and 76020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76000 and 76020.

How to find the GCF of 76000 and 76020?

We will first find the prime factorization of 76000 and 76020. After we will calculate the factors of 76000 and 76020 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 76020

Prime factors of 76020 are 2, 3, 5, 7, 181. Prime factorization of 76020 in exponential form is:

76020 = 2² × 3¹ × 5¹ × 7¹ × 181¹

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 76020

List of positive integer factors of 76020 that divides 76000 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 181, 210, 362, 420, 543, 724, 905, 1086, 1267, 1810, 2172, 2534, 2715, 3620, 3801, 5068, 5430, 6335, 7602, 10860, 12670, 15204, 19005, 25340, 38010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76000 and 76020. The biggest common factor number is the GCF number.
So the greatest common factor 76000 and 76020 is 20.

Also check out the Least Common Multiple of 76000 and 76020