What is the Greatest Common Factor of 80750 and 80767?

Greatest common factor (GCF) of 80750 and 80767 is 17.

GCF(80750,80767) = 17

We will now calculate the prime factors of 80750 and 80767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80750 and 80767.

How to find the GCF of 80750 and 80767?

We will first find the prime factorization of 80750 and 80767. After we will calculate the factors of 80750 and 80767 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80767

Prime factors of 80767 are 17, 4751. Prime factorization of 80767 in exponential form is:

80767 = 17¹ × 4751¹

Step-3: Factors of 80750

List of positive integer factors of 80750 that divides 80750 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

Step-4: Factors of 80767

List of positive integer factors of 80767 that divides 80750 without a remainder.

1, 17, 4751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80750 and 80767. The biggest common factor number is the GCF number.
So the greatest common factor 80750 and 80767 is 17.

Also check out the Least Common Multiple of 80750 and 80767