What is the Greatest Common Factor of 5229 and 5248?

Greatest common factor (GCF) of 5229 and 5248 is 1.

GCF(5229,5248) = 1

We will now calculate the prime factors of 5229 and 5248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5229 and 5248.

How to find the GCF of 5229 and 5248?

We will first find the prime factorization of 5229 and 5248. After we will calculate the factors of 5229 and 5248 and find the biggest common factor number .

Step-1: Prime Factorization of 5229

Prime factors of 5229 are 3, 7, 83. Prime factorization of 5229 in exponential form is:

5229 = 3² × 7¹ × 83¹

Step-2: Prime Factorization of 5248

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

5248 = 2⁷ × 41¹

Step-3: Factors of 5229

List of positive integer factors of 5229 that divides 5229 without a remainder.

1, 3, 7, 9, 21, 63, 83, 249, 581, 747, 1743

Step-4: Factors of 5248

List of positive integer factors of 5248 that divides 5229 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5229 and 5248. The biggest common factor number is the GCF number.
So the greatest common factor 5229 and 5248 is 1.

Also check out the Least Common Multiple of 5229 and 5248