What is the Greatest Common Factor of 15344 and 15356?

Greatest common factor (GCF) of 15344 and 15356 is 4.

GCF(15344,15356) = 4

We will now calculate the prime factors of 15344 and 15356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15344 and 15356.

How to find the GCF of 15344 and 15356?

We will first find the prime factorization of 15344 and 15356. After we will calculate the factors of 15344 and 15356 and find the biggest common factor number .

Step-1: Prime Factorization of 15344

Prime factors of 15344 are 2, 7, 137. Prime factorization of 15344 in exponential form is:

15344 = 2⁴ × 7¹ × 137¹

Step-2: Prime Factorization of 15356

Prime factors of 15356 are 2, 11, 349. Prime factorization of 15356 in exponential form is:

15356 = 2² × 11¹ × 349¹

Step-3: Factors of 15344

List of positive integer factors of 15344 that divides 15344 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 137, 274, 548, 959, 1096, 1918, 2192, 3836, 7672

Step-4: Factors of 15356

List of positive integer factors of 15356 that divides 15344 without a remainder.

1, 2, 4, 11, 22, 44, 349, 698, 1396, 3839, 7678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15344 and 15356. The biggest common factor number is the GCF number.
So the greatest common factor 15344 and 15356 is 4.

Also check out the Least Common Multiple of 15344 and 15356