What is the Greatest Common Factor of 17653 and 17661?

Greatest common factor (GCF) of 17653 and 17661 is 1.

GCF(17653,17661) = 1

We will now calculate the prime factors of 17653 and 17661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17653 and 17661.

How to find the GCF of 17653 and 17661?

We will first find the prime factorization of 17653 and 17661. After we will calculate the factors of 17653 and 17661 and find the biggest common factor number .

Step-1: Prime Factorization of 17653

Prime factors of 17653 are 127, 139. Prime factorization of 17653 in exponential form is:

17653 = 127¹ × 139¹

Step-2: 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-3: Factors of 17653

List of positive integer factors of 17653 that divides 17653 without a remainder.

1, 127, 139

Step-4: Factors of 17661

List of positive integer factors of 17661 that divides 17653 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17653 and 17661. The biggest common factor number is the GCF number.
So the greatest common factor 17653 and 17661 is 1.

Also check out the Least Common Multiple of 17653 and 17661