What is the Greatest Common Factor of 15254 and 15272?

Greatest common factor (GCF) of 15254 and 15272 is 2.

GCF(15254,15272) = 2

We will now calculate the prime factors of 15254 and 15272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15254 and 15272.

How to find the GCF of 15254 and 15272?

We will first find the prime factorization of 15254 and 15272. After we will calculate the factors of 15254 and 15272 and find the biggest common factor number .

Step-1: Prime Factorization of 15254

Prime factors of 15254 are 2, 29, 263. Prime factorization of 15254 in exponential form is:

15254 = 2¹ × 29¹ × 263¹

Step-2: Prime Factorization of 15272

Prime factors of 15272 are 2, 23, 83. Prime factorization of 15272 in exponential form is:

15272 = 2³ × 23¹ × 83¹

Step-3: Factors of 15254

List of positive integer factors of 15254 that divides 15254 without a remainder.

1, 2, 29, 58, 263, 526, 7627

Step-4: Factors of 15272

List of positive integer factors of 15272 that divides 15254 without a remainder.

1, 2, 4, 8, 23, 46, 83, 92, 166, 184, 332, 664, 1909, 3818, 7636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15254 and 15272. The biggest common factor number is the GCF number.
So the greatest common factor 15254 and 15272 is 2.

Also check out the Least Common Multiple of 15254 and 15272