GCF and LCM Calculator Logo

What is the Greatest Common Factor of 15664 and 15669?

Greatest common factor (GCF) of 15664 and 15669 is 1.

GCF(15664,15669) = 1

We will now calculate the prime factors of 15664 and 15669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15664 and 15669.

GCF Calculator and
and

How to find the GCF of 15664 and 15669?

We will first find the prime factorization of 15664 and 15669. After we will calculate the factors of 15664 and 15669 and find the biggest common factor number .

Step-1: Prime Factorization of 15664

Prime factors of 15664 are 2, 11, 89. Prime factorization of 15664 in exponential form is:

15664 = 24 × 111 × 891

Step-2: Prime Factorization of 15669

Prime factors of 15669 are 3, 1741. Prime factorization of 15669 in exponential form is:

15669 = 32 × 17411

Step-3: Factors of 15664

List of positive integer factors of 15664 that divides 15664 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 89, 176, 178, 356, 712, 979, 1424, 1958, 3916, 7832

Step-4: Factors of 15669

List of positive integer factors of 15669 that divides 15664 without a remainder.

1, 3, 9, 1741, 5223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15664 and 15669. The biggest common factor number is the GCF number.
So the greatest common factor 15664 and 15669 is 1.

Also check out the Least Common Multiple of 15664 and 15669