What is the Greatest Common Factor of 5356 and 5369?

Greatest common factor (GCF) of 5356 and 5369 is 13.

GCF(5356,5369) = 13

We will now calculate the prime factors of 5356 and 5369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5356 and 5369.

How to find the GCF of 5356 and 5369?

We will first find the prime factorization of 5356 and 5369. After we will calculate the factors of 5356 and 5369 and find the biggest common factor number .

Step-1: Prime Factorization of 5356

Prime factors of 5356 are 2, 13, 103. Prime factorization of 5356 in exponential form is:

5356 = 2² × 13¹ × 103¹

Step-2: Prime Factorization of 5369

Prime factors of 5369 are 7, 13, 59. Prime factorization of 5369 in exponential form is:

5369 = 7¹ × 13¹ × 59¹

Step-3: Factors of 5356

List of positive integer factors of 5356 that divides 5356 without a remainder.

1, 2, 4, 13, 26, 52, 103, 206, 412, 1339, 2678

Step-4: Factors of 5369

List of positive integer factors of 5369 that divides 5356 without a remainder.

1, 7, 13, 59, 91, 413, 767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5356 and 5369. The biggest common factor number is the GCF number.
So the greatest common factor 5356 and 5369 is 13.

Also check out the Least Common Multiple of 5356 and 5369