What is the Greatest Common Factor of 5644 and 5663?

Greatest common factor (GCF) of 5644 and 5663 is 1.

GCF(5644,5663) = 1

We will now calculate the prime factors of 5644 and 5663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5644 and 5663.

How to find the GCF of 5644 and 5663?

We will first find the prime factorization of 5644 and 5663. After we will calculate the factors of 5644 and 5663 and find the biggest common factor number .

Step-1: Prime Factorization of 5644

Prime factors of 5644 are 2, 17, 83. Prime factorization of 5644 in exponential form is:

5644 = 2² × 17¹ × 83¹

Step-2: Prime Factorization of 5663

Prime factors of 5663 are 7, 809. Prime factorization of 5663 in exponential form is:

5663 = 7¹ × 809¹

Step-3: Factors of 5644

List of positive integer factors of 5644 that divides 5644 without a remainder.

1, 2, 4, 17, 34, 68, 83, 166, 332, 1411, 2822

Step-4: Factors of 5663

List of positive integer factors of 5663 that divides 5644 without a remainder.

1, 7, 809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5644 and 5663. The biggest common factor number is the GCF number.
So the greatest common factor 5644 and 5663 is 1.

Also check out the Least Common Multiple of 5644 and 5663