What is the Greatest Common Factor of 76931 and 76950?

Greatest common factor (GCF) of 76931 and 76950 is 19.

GCF(76931,76950) = 19

We will now calculate the prime factors of 76931 and 76950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76931 and 76950.

How to find the GCF of 76931 and 76950?

We will first find the prime factorization of 76931 and 76950. After we will calculate the factors of 76931 and 76950 and find the biggest common factor number .

Step-1: Prime Factorization of 76931

Prime factors of 76931 are 19, 4049. Prime factorization of 76931 in exponential form is:

76931 = 19¹ × 4049¹

Step-2: Prime Factorization of 76950

Prime factors of 76950 are 2, 3, 5, 19. Prime factorization of 76950 in exponential form is:

76950 = 2¹ × 3⁴ × 5² × 19¹

Step-3: Factors of 76931

List of positive integer factors of 76931 that divides 76931 without a remainder.

1, 19, 4049

Step-4: Factors of 76950

List of positive integer factors of 76950 that divides 76931 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 27, 30, 38, 45, 50, 54, 57, 75, 81, 90, 95, 114, 135, 150, 162, 171, 190, 225, 270, 285, 342, 405, 450, 475, 513, 570, 675, 810, 855, 950, 1026, 1350, 1425, 1539, 1710, 2025, 2565, 2850, 3078, 4050, 4275, 5130, 7695, 8550, 12825, 15390, 25650, 38475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76931 and 76950. The biggest common factor number is the GCF number.
So the greatest common factor 76931 and 76950 is 19.

Also check out the Least Common Multiple of 76931 and 76950