What is the Greatest Common Factor of 5643 and 5662?

Greatest common factor (GCF) of 5643 and 5662 is 19.

GCF(5643,5662) = 19

We will now calculate the prime factors of 5643 and 5662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5643 and 5662.

How to find the GCF of 5643 and 5662?

We will first find the prime factorization of 5643 and 5662. After we will calculate the factors of 5643 and 5662 and find the biggest common factor number .

Step-1: Prime Factorization of 5643

Prime factors of 5643 are 3, 11, 19. Prime factorization of 5643 in exponential form is:

5643 = 3³ × 11¹ × 19¹

Step-2: Prime Factorization of 5662

Prime factors of 5662 are 2, 19, 149. Prime factorization of 5662 in exponential form is:

5662 = 2¹ × 19¹ × 149¹

Step-3: Factors of 5643

List of positive integer factors of 5643 that divides 5643 without a remainder.

1, 3, 9, 11, 19, 27, 33, 57, 99, 171, 209, 297, 513, 627, 1881

Step-4: Factors of 5662

List of positive integer factors of 5662 that divides 5643 without a remainder.

1, 2, 19, 38, 149, 298, 2831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5643 and 5662. The biggest common factor number is the GCF number.
So the greatest common factor 5643 and 5662 is 19.

Also check out the Least Common Multiple of 5643 and 5662