What is the Greatest Common Factor of 74790 and 74805?

Greatest common factor (GCF) of 74790 and 74805 is 15.

GCF(74790,74805) = 15

We will now calculate the prime factors of 74790 and 74805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74790 and 74805.

How to find the GCF of 74790 and 74805?

We will first find the prime factorization of 74790 and 74805. After we will calculate the factors of 74790 and 74805 and find the biggest common factor number .

Step-1: Prime Factorization of 74790

Prime factors of 74790 are 2, 3, 5, 277. Prime factorization of 74790 in exponential form is:

74790 = 2¹ × 3³ × 5¹ × 277¹

Step-2: Prime Factorization of 74805

Prime factors of 74805 are 3, 5, 4987. Prime factorization of 74805 in exponential form is:

74805 = 3¹ × 5¹ × 4987¹

Step-3: Factors of 74790

List of positive integer factors of 74790 that divides 74790 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 277, 554, 831, 1385, 1662, 2493, 2770, 4155, 4986, 7479, 8310, 12465, 14958, 24930, 37395

Step-4: Factors of 74805

List of positive integer factors of 74805 that divides 74790 without a remainder.

1, 3, 5, 15, 4987, 14961, 24935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74790 and 74805. The biggest common factor number is the GCF number.
So the greatest common factor 74790 and 74805 is 15.

Also check out the Least Common Multiple of 74790 and 74805