What is the Greatest Common Factor of 14617 and 14626?

Greatest common factor (GCF) of 14617 and 14626 is 1.

GCF(14617,14626) = 1

We will now calculate the prime factors of 14617 and 14626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14617 and 14626.

How to find the GCF of 14617 and 14626?

We will first find the prime factorization of 14617 and 14626. After we will calculate the factors of 14617 and 14626 and find the biggest common factor number .

Step-1: Prime Factorization of 14617

Prime factors of 14617 are 47, 311. Prime factorization of 14617 in exponential form is:

14617 = 47¹ × 311¹

Step-2: 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-3: Factors of 14617

List of positive integer factors of 14617 that divides 14617 without a remainder.

1, 47, 311

Step-4: Factors of 14626

List of positive integer factors of 14626 that divides 14617 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14617 and 14626. The biggest common factor number is the GCF number.
So the greatest common factor 14617 and 14626 is 1.

Also check out the Least Common Multiple of 14617 and 14626