What is the Greatest Common Factor of 5330 and 5338?

Greatest common factor (GCF) of 5330 and 5338 is 2.

GCF(5330,5338) = 2

We will now calculate the prime factors of 5330 and 5338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5330 and 5338.

How to find the GCF of 5330 and 5338?

We will first find the prime factorization of 5330 and 5338. After we will calculate the factors of 5330 and 5338 and find the biggest common factor number .

Step-1: Prime Factorization of 5330

Prime factors of 5330 are 2, 5, 13, 41. Prime factorization of 5330 in exponential form is:

5330 = 2¹ × 5¹ × 13¹ × 41¹

Step-2: Prime Factorization of 5338

Prime factors of 5338 are 2, 17, 157. Prime factorization of 5338 in exponential form is:

5338 = 2¹ × 17¹ × 157¹

Step-3: Factors of 5330

List of positive integer factors of 5330 that divides 5330 without a remainder.

1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 205, 410, 533, 1066, 2665

Step-4: Factors of 5338

List of positive integer factors of 5338 that divides 5330 without a remainder.

1, 2, 17, 34, 157, 314, 2669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5330 and 5338. The biggest common factor number is the GCF number.
So the greatest common factor 5330 and 5338 is 2.

Also check out the Least Common Multiple of 5330 and 5338