What is the Greatest Common Factor of 17602 and 17614?

Greatest common factor (GCF) of 17602 and 17614 is 2.

GCF(17602,17614) = 2

We will now calculate the prime factors of 17602 and 17614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17602 and 17614.

How to find the GCF of 17602 and 17614?

We will first find the prime factorization of 17602 and 17614. After we will calculate the factors of 17602 and 17614 and find the biggest common factor number .

Step-1: Prime Factorization of 17602

Prime factors of 17602 are 2, 13, 677. Prime factorization of 17602 in exponential form is:

17602 = 2¹ × 13¹ × 677¹

Step-2: Prime Factorization of 17614

Prime factors of 17614 are 2, 8807. Prime factorization of 17614 in exponential form is:

17614 = 2¹ × 8807¹

Step-3: Factors of 17602

List of positive integer factors of 17602 that divides 17602 without a remainder.

1, 2, 13, 26, 677, 1354, 8801

Step-4: Factors of 17614

List of positive integer factors of 17614 that divides 17602 without a remainder.

1, 2, 8807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17602 and 17614. The biggest common factor number is the GCF number.
So the greatest common factor 17602 and 17614 is 2.

Also check out the Least Common Multiple of 17602 and 17614