What is the Greatest Common Factor of 80731 and 80750?

Greatest common factor (GCF) of 80731 and 80750 is 19.

GCF(80731,80750) = 19

We will now calculate the prime factors of 80731 and 80750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80731 and 80750.

How to find the GCF of 80731 and 80750?

We will first find the prime factorization of 80731 and 80750. After we will calculate the factors of 80731 and 80750 and find the biggest common factor number .

Step-1: Prime Factorization of 80731

Prime factors of 80731 are 7, 19, 607. Prime factorization of 80731 in exponential form is:

80731 = 7¹ × 19¹ × 607¹

Step-2: Prime Factorization of 80750

Prime factors of 80750 are 2, 5, 17, 19. Prime factorization of 80750 in exponential form is:

80750 = 2¹ × 5³ × 17¹ × 19¹

Step-3: Factors of 80731

List of positive integer factors of 80731 that divides 80731 without a remainder.

1, 7, 19, 133, 607, 4249, 11533

Step-4: Factors of 80750

List of positive integer factors of 80750 that divides 80731 without a remainder.

1, 2, 5, 10, 17, 19, 25, 34, 38, 50, 85, 95, 125, 170, 190, 250, 323, 425, 475, 646, 850, 950, 1615, 2125, 2375, 3230, 4250, 4750, 8075, 16150, 40375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80731 and 80750. The biggest common factor number is the GCF number.
So the greatest common factor 80731 and 80750 is 19.

Also check out the Least Common Multiple of 80731 and 80750