What is the Greatest Common Factor of 17610 and 17614?

Greatest common factor (GCF) of 17610 and 17614 is 2.

GCF(17610,17614) = 2

We will now calculate the prime factors of 17610 and 17614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17610 and 17614.

How to find the GCF of 17610 and 17614?

We will first find the prime factorization of 17610 and 17614. After we will calculate the factors of 17610 and 17614 and find the biggest common factor number .

Step-1: Prime Factorization of 17610

Prime factors of 17610 are 2, 3, 5, 587. Prime factorization of 17610 in exponential form is:

17610 = 2¹ × 3¹ × 5¹ × 587¹

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 17610

List of positive integer factors of 17610 that divides 17610 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 587, 1174, 1761, 2935, 3522, 5870, 8805

Step-4: Factors of 17614

List of positive integer factors of 17614 that divides 17610 without a remainder.

1, 2, 8807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17610 and 17614. The biggest common factor number is the GCF number.
So the greatest common factor 17610 and 17614 is 2.

Also check out the Least Common Multiple of 17610 and 17614