What is the Greatest Common Factor of 90830 and 90835?

Greatest common factor (GCF) of 90830 and 90835 is 5.

GCF(90830,90835) = 5

We will now calculate the prime factors of 90830 and 90835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90830 and 90835.

How to find the GCF of 90830 and 90835?

We will first find the prime factorization of 90830 and 90835. After we will calculate the factors of 90830 and 90835 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 90835

Prime factors of 90835 are 5, 37, 491. Prime factorization of 90835 in exponential form is:

90835 = 5¹ × 37¹ × 491¹

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 90835

List of positive integer factors of 90835 that divides 90830 without a remainder.

1, 5, 37, 185, 491, 2455, 18167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90830 and 90835. The biggest common factor number is the GCF number.
So the greatest common factor 90830 and 90835 is 5.

Also check out the Least Common Multiple of 90830 and 90835