What is the Greatest Common Factor of 15344 and 15358?

Greatest common factor (GCF) of 15344 and 15358 is 14.

GCF(15344,15358) = 14

We will now calculate the prime factors of 15344 and 15358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15344 and 15358.

How to find the GCF of 15344 and 15358?

We will first find the prime factorization of 15344 and 15358. After we will calculate the factors of 15344 and 15358 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 15358

Prime factors of 15358 are 2, 7, 1097. Prime factorization of 15358 in exponential form is:

15358 = 2¹ × 7¹ × 1097¹

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 15358

List of positive integer factors of 15358 that divides 15344 without a remainder.

1, 2, 7, 14, 1097, 2194, 7679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15344 and 15358. The biggest common factor number is the GCF number.
So the greatest common factor 15344 and 15358 is 14.

Also check out the Least Common Multiple of 15344 and 15358