What is the Greatest Common Factor of 5258 and 5269?

Greatest common factor (GCF) of 5258 and 5269 is 11.

GCF(5258,5269) = 11

We will now calculate the prime factors of 5258 and 5269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5258 and 5269.

How to find the GCF of 5258 and 5269?

We will first find the prime factorization of 5258 and 5269. After we will calculate the factors of 5258 and 5269 and find the biggest common factor number .

Step-1: Prime Factorization of 5258

Prime factors of 5258 are 2, 11, 239. Prime factorization of 5258 in exponential form is:

5258 = 2¹ × 11¹ × 239¹

Step-2: Prime Factorization of 5269

Prime factors of 5269 are 11, 479. Prime factorization of 5269 in exponential form is:

5269 = 11¹ × 479¹

Step-3: Factors of 5258

List of positive integer factors of 5258 that divides 5258 without a remainder.

1, 2, 11, 22, 239, 478, 2629

Step-4: Factors of 5269

List of positive integer factors of 5269 that divides 5258 without a remainder.

1, 11, 479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5258 and 5269. The biggest common factor number is the GCF number.
So the greatest common factor 5258 and 5269 is 11.

Also check out the Least Common Multiple of 5258 and 5269