What is the Greatest Common Factor of 5265 and 5285?

Greatest common factor (GCF) of 5265 and 5285 is 5.

GCF(5265,5285) = 5

We will now calculate the prime factors of 5265 and 5285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5265 and 5285.

How to find the GCF of 5265 and 5285?

We will first find the prime factorization of 5265 and 5285. After we will calculate the factors of 5265 and 5285 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5285

Prime factors of 5285 are 5, 7, 151. Prime factorization of 5285 in exponential form is:

5285 = 5¹ × 7¹ × 151¹

Step-3: Factors of 5265

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

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

Step-4: Factors of 5285

List of positive integer factors of 5285 that divides 5265 without a remainder.

1, 5, 7, 35, 151, 755, 1057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5265 and 5285. The biggest common factor number is the GCF number.
So the greatest common factor 5265 and 5285 is 5.

Also check out the Least Common Multiple of 5265 and 5285