What is the Greatest Common Factor of 17658 and 17668?

Greatest common factor (GCF) of 17658 and 17668 is 2.

GCF(17658,17668) = 2

We will now calculate the prime factors of 17658 and 17668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17658 and 17668.

How to find the GCF of 17658 and 17668?

We will first find the prime factorization of 17658 and 17668. After we will calculate the factors of 17658 and 17668 and find the biggest common factor number .

Step-1: Prime Factorization of 17658

Prime factors of 17658 are 2, 3, 109. Prime factorization of 17658 in exponential form is:

17658 = 2¹ × 3⁴ × 109¹

Step-2: Prime Factorization of 17668

Prime factors of 17668 are 2, 7, 631. Prime factorization of 17668 in exponential form is:

17668 = 2² × 7¹ × 631¹

Step-3: Factors of 17658

List of positive integer factors of 17658 that divides 17658 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 109, 162, 218, 327, 654, 981, 1962, 2943, 5886, 8829

Step-4: Factors of 17668

List of positive integer factors of 17668 that divides 17658 without a remainder.

1, 2, 4, 7, 14, 28, 631, 1262, 2524, 4417, 8834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17658 and 17668. The biggest common factor number is the GCF number.
So the greatest common factor 17658 and 17668 is 2.

Also check out the Least Common Multiple of 17658 and 17668