What is the Greatest Common Factor of 5567 and 5586?

Greatest common factor (GCF) of 5567 and 5586 is 19.

GCF(5567,5586) = 19

We will now calculate the prime factors of 5567 and 5586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5567 and 5586.

How to find the GCF of 5567 and 5586?

We will first find the prime factorization of 5567 and 5586. After we will calculate the factors of 5567 and 5586 and find the biggest common factor number .

Step-1: Prime Factorization of 5567

Prime factors of 5567 are 19, 293. Prime factorization of 5567 in exponential form is:

5567 = 19¹ × 293¹

Step-2: Prime Factorization of 5586

Prime factors of 5586 are 2, 3, 7, 19. Prime factorization of 5586 in exponential form is:

5586 = 2¹ × 3¹ × 7² × 19¹

Step-3: Factors of 5567

List of positive integer factors of 5567 that divides 5567 without a remainder.

1, 19, 293

Step-4: Factors of 5586

List of positive integer factors of 5586 that divides 5567 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 49, 57, 98, 114, 133, 147, 266, 294, 399, 798, 931, 1862, 2793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5567 and 5586. The biggest common factor number is the GCF number.
So the greatest common factor 5567 and 5586 is 19.

Also check out the Least Common Multiple of 5567 and 5586