What is the Greatest Common Factor of 14642 and 14660?

Greatest common factor (GCF) of 14642 and 14660 is 2.

GCF(14642,14660) = 2

We will now calculate the prime factors of 14642 and 14660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14642 and 14660.

How to find the GCF of 14642 and 14660?

We will first find the prime factorization of 14642 and 14660. After we will calculate the factors of 14642 and 14660 and find the biggest common factor number .

Step-1: Prime Factorization of 14642

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

14642 = 2¹ × 7321¹

Step-2: Prime Factorization of 14660

Prime factors of 14660 are 2, 5, 733. Prime factorization of 14660 in exponential form is:

14660 = 2² × 5¹ × 733¹

Step-3: Factors of 14642

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

1, 2, 7321

Step-4: Factors of 14660

List of positive integer factors of 14660 that divides 14642 without a remainder.

1, 2, 4, 5, 10, 20, 733, 1466, 2932, 3665, 7330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14642 and 14660. The biggest common factor number is the GCF number.
So the greatest common factor 14642 and 14660 is 2.

Also check out the Least Common Multiple of 14642 and 14660