What is the Greatest Common Factor of 15438 and 15448?

Greatest common factor (GCF) of 15438 and 15448 is 2.

GCF(15438,15448) = 2

We will now calculate the prime factors of 15438 and 15448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15438 and 15448.

How to find the GCF of 15438 and 15448?

We will first find the prime factorization of 15438 and 15448. After we will calculate the factors of 15438 and 15448 and find the biggest common factor number .

Step-1: Prime Factorization of 15438

Prime factors of 15438 are 2, 3, 31, 83. Prime factorization of 15438 in exponential form is:

15438 = 2¹ × 3¹ × 31¹ × 83¹

Step-2: Prime Factorization of 15448

Prime factors of 15448 are 2, 1931. Prime factorization of 15448 in exponential form is:

15448 = 2³ × 1931¹

Step-3: Factors of 15438

List of positive integer factors of 15438 that divides 15438 without a remainder.

1, 2, 3, 6, 31, 62, 83, 93, 166, 186, 249, 498, 2573, 5146, 7719

Step-4: Factors of 15448

List of positive integer factors of 15448 that divides 15438 without a remainder.

1, 2, 4, 8, 1931, 3862, 7724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15438 and 15448. The biggest common factor number is the GCF number.
So the greatest common factor 15438 and 15448 is 2.

Also check out the Least Common Multiple of 15438 and 15448