What is the Greatest Common Factor of 15478 and 15488?

Greatest common factor (GCF) of 15478 and 15488 is 2.

GCF(15478,15488) = 2

We will now calculate the prime factors of 15478 and 15488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15478 and 15488.

How to find the GCF of 15478 and 15488?

We will first find the prime factorization of 15478 and 15488. After we will calculate the factors of 15478 and 15488 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 15488

Prime factors of 15488 are 2, 11. Prime factorization of 15488 in exponential form is:

15488 = 2⁷ × 11²

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 15488

List of positive integer factors of 15488 that divides 15478 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 128, 176, 242, 352, 484, 704, 968, 1408, 1936, 3872, 7744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15478 and 15488. The biggest common factor number is the GCF number.
So the greatest common factor 15478 and 15488 is 2.

Also check out the Least Common Multiple of 15478 and 15488