What is the Greatest Common Factor of 5248 and 5254?

Greatest common factor (GCF) of 5248 and 5254 is 2.

GCF(5248,5254) = 2

We will now calculate the prime factors of 5248 and 5254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5248 and 5254.

How to find the GCF of 5248 and 5254?

We will first find the prime factorization of 5248 and 5254. After we will calculate the factors of 5248 and 5254 and find the biggest common factor number .

Step-1: Prime Factorization of 5248

Prime factors of 5248 are 2, 41. Prime factorization of 5248 in exponential form is:

5248 = 2⁷ × 41¹

Step-2: Prime Factorization of 5254

Prime factors of 5254 are 2, 37, 71. Prime factorization of 5254 in exponential form is:

5254 = 2¹ × 37¹ × 71¹

Step-3: Factors of 5248

List of positive integer factors of 5248 that divides 5248 without a remainder.

1, 2, 4, 8, 16, 32, 41, 64, 82, 128, 164, 328, 656, 1312, 2624

Step-4: Factors of 5254

List of positive integer factors of 5254 that divides 5248 without a remainder.

1, 2, 37, 71, 74, 142, 2627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5248 and 5254. The biggest common factor number is the GCF number.
So the greatest common factor 5248 and 5254 is 2.

Also check out the Least Common Multiple of 5248 and 5254