What is the Greatest Common Factor of 15478 and 15496?

Greatest common factor (GCF) of 15478 and 15496 is 2.

GCF(15478,15496) = 2

We will now calculate the prime factors of 15478 and 15496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15478 and 15496.

How to find the GCF of 15478 and 15496?

We will first find the prime factorization of 15478 and 15496. After we will calculate the factors of 15478 and 15496 and find the biggest common factor number .

Step-1: Prime Factorization of 15478

Prime factors of 15478 are 2, 71, 109. Prime factorization of 15478 in exponential form is:

15478 = 2¹ × 71¹ × 109¹

Step-2: Prime Factorization of 15496

Prime factors of 15496 are 2, 13, 149. Prime factorization of 15496 in exponential form is:

15496 = 2³ × 13¹ × 149¹

Step-3: Factors of 15478

List of positive integer factors of 15478 that divides 15478 without a remainder.

1, 2, 71, 109, 142, 218, 7739

Step-4: Factors of 15496

List of positive integer factors of 15496 that divides 15478 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 149, 298, 596, 1192, 1937, 3874, 7748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15478 and 15496. The biggest common factor number is the GCF number.
So the greatest common factor 15478 and 15496 is 2.

Also check out the Least Common Multiple of 15478 and 15496