What is the Greatest Common Factor of 17634 and 17647?

Greatest common factor (GCF) of 17634 and 17647 is 1.

GCF(17634,17647) = 1

We will now calculate the prime factors of 17634 and 17647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17634 and 17647.

How to find the GCF of 17634 and 17647?

We will first find the prime factorization of 17634 and 17647. After we will calculate the factors of 17634 and 17647 and find the biggest common factor number .

Step-1: Prime Factorization of 17634

Prime factors of 17634 are 2, 3, 2939. Prime factorization of 17634 in exponential form is:

17634 = 2¹ × 3¹ × 2939¹

Step-2: Prime Factorization of 17647

Prime factors of 17647 are 7, 2521. Prime factorization of 17647 in exponential form is:

17647 = 7¹ × 2521¹

Step-3: Factors of 17634

List of positive integer factors of 17634 that divides 17634 without a remainder.

1, 2, 3, 6, 2939, 5878, 8817

Step-4: Factors of 17647

List of positive integer factors of 17647 that divides 17634 without a remainder.

1, 7, 2521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17634 and 17647. The biggest common factor number is the GCF number.
So the greatest common factor 17634 and 17647 is 1.

Also check out the Least Common Multiple of 17634 and 17647