What is the Greatest Common Factor of 15653 and 15663?

Greatest common factor (GCF) of 15653 and 15663 is 1.

GCF(15653,15663) = 1

We will now calculate the prime factors of 15653 and 15663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15653 and 15663.

How to find the GCF of 15653 and 15663?

We will first find the prime factorization of 15653 and 15663. After we will calculate the factors of 15653 and 15663 and find the biggest common factor number .

Step-1: Prime Factorization of 15653

Prime factors of 15653 are 11, 1423. Prime factorization of 15653 in exponential form is:

15653 = 11¹ × 1423¹

Step-2: Prime Factorization of 15663

Prime factors of 15663 are 3, 23, 227. Prime factorization of 15663 in exponential form is:

15663 = 3¹ × 23¹ × 227¹

Step-3: Factors of 15653

List of positive integer factors of 15653 that divides 15653 without a remainder.

1, 11, 1423

Step-4: Factors of 15663

List of positive integer factors of 15663 that divides 15653 without a remainder.

1, 3, 23, 69, 227, 681, 5221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15653 and 15663. The biggest common factor number is the GCF number.
So the greatest common factor 15653 and 15663 is 1.

Also check out the Least Common Multiple of 15653 and 15663