What is the Greatest Common Factor of 90830 and 90850?

Greatest common factor (GCF) of 90830 and 90850 is 10.

GCF(90830,90850) = 10

We will now calculate the prime factors of 90830 and 90850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90830 and 90850.

How to find the GCF of 90830 and 90850?

We will first find the prime factorization of 90830 and 90850. After we will calculate the factors of 90830 and 90850 and find the biggest common factor number .

Step-1: Prime Factorization of 90830

Prime factors of 90830 are 2, 5, 31, 293. Prime factorization of 90830 in exponential form is:

90830 = 2¹ × 5¹ × 31¹ × 293¹

Step-2: Prime Factorization of 90850

Prime factors of 90850 are 2, 5, 23, 79. Prime factorization of 90850 in exponential form is:

90850 = 2¹ × 5² × 23¹ × 79¹

Step-3: Factors of 90830

List of positive integer factors of 90830 that divides 90830 without a remainder.

1, 2, 5, 10, 31, 62, 155, 293, 310, 586, 1465, 2930, 9083, 18166, 45415

Step-4: Factors of 90850

List of positive integer factors of 90850 that divides 90830 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 79, 115, 158, 230, 395, 575, 790, 1150, 1817, 1975, 3634, 3950, 9085, 18170, 45425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90830 and 90850. The biggest common factor number is the GCF number.
So the greatest common factor 90830 and 90850 is 10.

Also check out the Least Common Multiple of 90830 and 90850