What is the Greatest Common Factor of 14680 and 14690?

Greatest common factor (GCF) of 14680 and 14690 is 10.

GCF(14680,14690) = 10

We will now calculate the prime factors of 14680 and 14690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14680 and 14690.

How to find the GCF of 14680 and 14690?

We will first find the prime factorization of 14680 and 14690. After we will calculate the factors of 14680 and 14690 and find the biggest common factor number .

Step-1: Prime Factorization of 14680

Prime factors of 14680 are 2, 5, 367. Prime factorization of 14680 in exponential form is:

14680 = 2³ × 5¹ × 367¹

Step-2: Prime Factorization of 14690

Prime factors of 14690 are 2, 5, 13, 113. Prime factorization of 14690 in exponential form is:

14690 = 2¹ × 5¹ × 13¹ × 113¹

Step-3: Factors of 14680

List of positive integer factors of 14680 that divides 14680 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 367, 734, 1468, 1835, 2936, 3670, 7340

Step-4: Factors of 14690

List of positive integer factors of 14690 that divides 14680 without a remainder.

1, 2, 5, 10, 13, 26, 65, 113, 130, 226, 565, 1130, 1469, 2938, 7345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14680 and 14690. The biggest common factor number is the GCF number.
So the greatest common factor 14680 and 14690 is 10.

Also check out the Least Common Multiple of 14680 and 14690