What is the Greatest Common Factor of 14626 and 14642?

Greatest common factor (GCF) of 14626 and 14642 is 2.

GCF(14626,14642) = 2

We will now calculate the prime factors of 14626 and 14642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14626 and 14642.

How to find the GCF of 14626 and 14642?

We will first find the prime factorization of 14626 and 14642. After we will calculate the factors of 14626 and 14642 and find the biggest common factor number .

Step-1: Prime Factorization of 14626

Prime factors of 14626 are 2, 71, 103. Prime factorization of 14626 in exponential form is:

14626 = 2¹ × 71¹ × 103¹

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 14626

List of positive integer factors of 14626 that divides 14626 without a remainder.

1, 2, 71, 103, 142, 206, 7313

Step-4: Factors of 14642

List of positive integer factors of 14642 that divides 14626 without a remainder.

1, 2, 7321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14626 and 14642. The biggest common factor number is the GCF number.
So the greatest common factor 14626 and 14642 is 2.

Also check out the Least Common Multiple of 14626 and 14642