What is the Greatest Common Factor of 80730 and 80750?

Greatest common factor (GCF) of 80730 and 80750 is 10.

GCF(80730,80750) = 10

We will now calculate the prime factors of 80730 and 80750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80730 and 80750.

How to find the GCF of 80730 and 80750?

We will first find the prime factorization of 80730 and 80750. After we will calculate the factors of 80730 and 80750 and find the biggest common factor number .

Step-1: Prime Factorization of 80730

Prime factors of 80730 are 2, 3, 5, 13, 23. Prime factorization of 80730 in exponential form is:

80730 = 2¹ × 3³ × 5¹ × 13¹ × 23¹

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 80730

List of positive integer factors of 80730 that divides 80730 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 23, 26, 27, 30, 39, 45, 46, 54, 65, 69, 78, 90, 115, 117, 130, 135, 138, 195, 207, 230, 234, 270, 299, 345, 351, 390, 414, 585, 598, 621, 690, 702, 897, 1035, 1170, 1242, 1495, 1755, 1794, 2070, 2691, 2990, 3105, 3510, 4485, 5382, 6210, 8073, 8970, 13455, 16146, 26910, 40365

Step-4: Factors of 80750

List of positive integer factors of 80750 that divides 80730 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 80730 and 80750. The biggest common factor number is the GCF number.
So the greatest common factor 80730 and 80750 is 10.

Also check out the Least Common Multiple of 80730 and 80750