What is the Greatest Common Factor of 14774 and 14790?

Greatest common factor (GCF) of 14774 and 14790 is 2.

GCF(14774,14790) = 2

We will now calculate the prime factors of 14774 and 14790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14774 and 14790.

How to find the GCF of 14774 and 14790?

We will first find the prime factorization of 14774 and 14790. After we will calculate the factors of 14774 and 14790 and find the biggest common factor number .

Step-1: Prime Factorization of 14774

Prime factors of 14774 are 2, 83, 89. Prime factorization of 14774 in exponential form is:

14774 = 2¹ × 83¹ × 89¹

Step-2: Prime Factorization of 14790

Prime factors of 14790 are 2, 3, 5, 17, 29. Prime factorization of 14790 in exponential form is:

14790 = 2¹ × 3¹ × 5¹ × 17¹ × 29¹

Step-3: Factors of 14774

List of positive integer factors of 14774 that divides 14774 without a remainder.

1, 2, 83, 89, 166, 178, 7387

Step-4: Factors of 14790

List of positive integer factors of 14790 that divides 14774 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 29, 30, 34, 51, 58, 85, 87, 102, 145, 170, 174, 255, 290, 435, 493, 510, 870, 986, 1479, 2465, 2958, 4930, 7395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14774 and 14790. The biggest common factor number is the GCF number.
So the greatest common factor 14774 and 14790 is 2.

Also check out the Least Common Multiple of 14774 and 14790