What is the Greatest Common Factor of 17608 and 17626?

Greatest common factor (GCF) of 17608 and 17626 is 2.

GCF(17608,17626) = 2

We will now calculate the prime factors of 17608 and 17626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17608 and 17626.

How to find the GCF of 17608 and 17626?

We will first find the prime factorization of 17608 and 17626. After we will calculate the factors of 17608 and 17626 and find the biggest common factor number .

Step-1: Prime Factorization of 17608

Prime factors of 17608 are 2, 31, 71. Prime factorization of 17608 in exponential form is:

17608 = 2³ × 31¹ × 71¹

Step-2: Prime Factorization of 17626

Prime factors of 17626 are 2, 7, 1259. Prime factorization of 17626 in exponential form is:

17626 = 2¹ × 7¹ × 1259¹

Step-3: Factors of 17608

List of positive integer factors of 17608 that divides 17608 without a remainder.

1, 2, 4, 8, 31, 62, 71, 124, 142, 248, 284, 568, 2201, 4402, 8804

Step-4: Factors of 17626

List of positive integer factors of 17626 that divides 17608 without a remainder.

1, 2, 7, 14, 1259, 2518, 8813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17608 and 17626. The biggest common factor number is the GCF number.
So the greatest common factor 17608 and 17626 is 2.

Also check out the Least Common Multiple of 17608 and 17626