What is the Greatest Common Factor of 8614 and 8626?

Greatest common factor (GCF) of 8614 and 8626 is 2.

GCF(8614,8626) = 2

We will now calculate the prime factors of 8614 and 8626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8614 and 8626.

How to find the GCF of 8614 and 8626?

We will first find the prime factorization of 8614 and 8626. After we will calculate the factors of 8614 and 8626 and find the biggest common factor number .

Step-1: Prime Factorization of 8614

Prime factors of 8614 are 2, 59, 73. Prime factorization of 8614 in exponential form is:

8614 = 2¹ × 59¹ × 73¹

Step-2: Prime Factorization of 8626

Prime factors of 8626 are 2, 19, 227. Prime factorization of 8626 in exponential form is:

8626 = 2¹ × 19¹ × 227¹

Step-3: Factors of 8614

List of positive integer factors of 8614 that divides 8614 without a remainder.

1, 2, 59, 73, 118, 146, 4307

Step-4: Factors of 8626

List of positive integer factors of 8626 that divides 8614 without a remainder.

1, 2, 19, 38, 227, 454, 4313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8614 and 8626. The biggest common factor number is the GCF number.
So the greatest common factor 8614 and 8626 is 2.

Also check out the Least Common Multiple of 8614 and 8626