What is the Greatest Common Factor of 5249 and 5265?

Greatest common factor (GCF) of 5249 and 5265 is 1.

GCF(5249,5265) = 1

We will now calculate the prime factors of 5249 and 5265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5249 and 5265.

How to find the GCF of 5249 and 5265?

We will first find the prime factorization of 5249 and 5265. After we will calculate the factors of 5249 and 5265 and find the biggest common factor number .

Step-1: Prime Factorization of 5249

Prime factors of 5249 are 29, 181. Prime factorization of 5249 in exponential form is:

5249 = 29¹ × 181¹

Step-2: Prime Factorization of 5265

Prime factors of 5265 are 3, 5, 13. Prime factorization of 5265 in exponential form is:

5265 = 3⁴ × 5¹ × 13¹

Step-3: Factors of 5249

List of positive integer factors of 5249 that divides 5249 without a remainder.

1, 29, 181

Step-4: Factors of 5265

List of positive integer factors of 5265 that divides 5249 without a remainder.

1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5249 and 5265. The biggest common factor number is the GCF number.
So the greatest common factor 5249 and 5265 is 1.

Also check out the Least Common Multiple of 5249 and 5265