What is the Greatest Common Factor of 5579 and 5593?

Greatest common factor (GCF) of 5579 and 5593 is 7.

GCF(5579,5593) = 7

We will now calculate the prime factors of 5579 and 5593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5579 and 5593.

How to find the GCF of 5579 and 5593?

We will first find the prime factorization of 5579 and 5593. After we will calculate the factors of 5579 and 5593 and find the biggest common factor number .

Step-1: Prime Factorization of 5579

Prime factors of 5579 are 7, 797. Prime factorization of 5579 in exponential form is:

5579 = 7¹ × 797¹

Step-2: Prime Factorization of 5593

Prime factors of 5593 are 7, 17, 47. Prime factorization of 5593 in exponential form is:

5593 = 7¹ × 17¹ × 47¹

Step-3: Factors of 5579

List of positive integer factors of 5579 that divides 5579 without a remainder.

1, 7, 797

Step-4: Factors of 5593

List of positive integer factors of 5593 that divides 5579 without a remainder.

1, 7, 17, 47, 119, 329, 799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5579 and 5593. The biggest common factor number is the GCF number.
So the greatest common factor 5579 and 5593 is 7.

Also check out the Least Common Multiple of 5579 and 5593