What is the Greatest Common Factor of 14630 and 14642?

Greatest common factor (GCF) of 14630 and 14642 is 2.

GCF(14630,14642) = 2

We will now calculate the prime factors of 14630 and 14642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14630 and 14642.

How to find the GCF of 14630 and 14642?

We will first find the prime factorization of 14630 and 14642. After we will calculate the factors of 14630 and 14642 and find the biggest common factor number .

Step-1: Prime Factorization of 14630

Prime factors of 14630 are 2, 5, 7, 11, 19. Prime factorization of 14630 in exponential form is:

14630 = 2¹ × 5¹ × 7¹ × 11¹ × 19¹

Step-2: Prime Factorization of 14642

Prime factors of 14642 are 2, 7321. Prime factorization of 14642 in exponential form is:

14642 = 2¹ × 7321¹

Step-3: Factors of 14630

List of positive integer factors of 14630 that divides 14630 without a remainder.

1, 2, 5, 7, 10, 11, 14, 19, 22, 35, 38, 55, 70, 77, 95, 110, 133, 154, 190, 209, 266, 385, 418, 665, 770, 1045, 1330, 1463, 2090, 2926, 7315

Step-4: Factors of 14642

List of positive integer factors of 14642 that divides 14630 without a remainder.

1, 2, 7321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14630 and 14642. The biggest common factor number is the GCF number.
So the greatest common factor 14630 and 14642 is 2.

Also check out the Least Common Multiple of 14630 and 14642