What is the Greatest Common Factor of 5369 and 5383?

Greatest common factor (GCF) of 5369 and 5383 is 7.

GCF(5369,5383) = 7

We will now calculate the prime factors of 5369 and 5383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5369 and 5383.

How to find the GCF of 5369 and 5383?

We will first find the prime factorization of 5369 and 5383. After we will calculate the factors of 5369 and 5383 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5383

Prime factors of 5383 are 7, 769. Prime factorization of 5383 in exponential form is:

5383 = 7¹ × 769¹

Step-3: Factors of 5369

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

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

Step-4: Factors of 5383

List of positive integer factors of 5383 that divides 5369 without a remainder.

1, 7, 769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5369 and 5383. The biggest common factor number is the GCF number.
So the greatest common factor 5369 and 5383 is 7.

Also check out the Least Common Multiple of 5369 and 5383