What is the Greatest Common Factor of 90790 and 90805?

Greatest common factor (GCF) of 90790 and 90805 is 5.

GCF(90790,90805) = 5

We will now calculate the prime factors of 90790 and 90805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90790 and 90805.

How to find the GCF of 90790 and 90805?

We will first find the prime factorization of 90790 and 90805. After we will calculate the factors of 90790 and 90805 and find the biggest common factor number .

Step-1: Prime Factorization of 90790

Prime factors of 90790 are 2, 5, 7, 1297. Prime factorization of 90790 in exponential form is:

90790 = 2¹ × 5¹ × 7¹ × 1297¹

Step-2: Prime Factorization of 90805

Prime factors of 90805 are 5, 11, 13, 127. Prime factorization of 90805 in exponential form is:

90805 = 5¹ × 11¹ × 13¹ × 127¹

Step-3: Factors of 90790

List of positive integer factors of 90790 that divides 90790 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1297, 2594, 6485, 9079, 12970, 18158, 45395

Step-4: Factors of 90805

List of positive integer factors of 90805 that divides 90790 without a remainder.

1, 5, 11, 13, 55, 65, 127, 143, 635, 715, 1397, 1651, 6985, 8255, 18161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90790 and 90805. The biggest common factor number is the GCF number.
So the greatest common factor 90790 and 90805 is 5.

Also check out the Least Common Multiple of 90790 and 90805