What is the Greatest Common Factor of 17661 and 17669?

Greatest common factor (GCF) of 17661 and 17669 is 1.

GCF(17661,17669) = 1

We will now calculate the prime factors of 17661 and 17669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17661 and 17669.

How to find the GCF of 17661 and 17669?

We will first find the prime factorization of 17661 and 17669. After we will calculate the factors of 17661 and 17669 and find the biggest common factor number .

Step-1: Prime Factorization of 17661

Prime factors of 17661 are 3, 7, 29. Prime factorization of 17661 in exponential form is:

17661 = 3¹ × 7¹ × 29²

Step-2: Prime Factorization of 17669

Prime factors of 17669 are 17669. Prime factorization of 17669 in exponential form is:

17669 = 17669¹

Step-3: Factors of 17661

List of positive integer factors of 17661 that divides 17661 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609, 841, 2523, 5887

Step-4: Factors of 17669

List of positive integer factors of 17669 that divides 17661 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17661 and 17669. The biggest common factor number is the GCF number.
So the greatest common factor 17661 and 17669 is 1.

Also check out the Least Common Multiple of 17661 and 17669