What is the Greatest Common Factor of 74790 and 74810?

Greatest common factor (GCF) of 74790 and 74810 is 10.

GCF(74790,74810) = 10

We will now calculate the prime factors of 74790 and 74810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74790 and 74810.

How to find the GCF of 74790 and 74810?

We will first find the prime factorization of 74790 and 74810. After we will calculate the factors of 74790 and 74810 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 74810

Prime factors of 74810 are 2, 5, 7481. Prime factorization of 74810 in exponential form is:

74810 = 2¹ × 5¹ × 7481¹

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 74810

List of positive integer factors of 74810 that divides 74790 without a remainder.

1, 2, 5, 10, 7481, 14962, 37405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74790 and 74810. The biggest common factor number is the GCF number.
So the greatest common factor 74790 and 74810 is 10.

Also check out the Least Common Multiple of 74790 and 74810