What is the Greatest Common Factor of 17602 and 17610?

Greatest common factor (GCF) of 17602 and 17610 is 2.

GCF(17602,17610) = 2

We will now calculate the prime factors of 17602 and 17610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17602 and 17610.

How to find the GCF of 17602 and 17610?

We will first find the prime factorization of 17602 and 17610. After we will calculate the factors of 17602 and 17610 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 17610

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

17610 = 2¹ × 3¹ × 5¹ × 587¹

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 17610

List of positive integer factors of 17610 that divides 17602 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17602 and 17610. The biggest common factor number is the GCF number.
So the greatest common factor 17602 and 17610 is 2.

Also check out the Least Common Multiple of 17602 and 17610