What is the Greatest Common Factor of 5621 and 5637?

Greatest common factor (GCF) of 5621 and 5637 is 1.

GCF(5621,5637) = 1

We will now calculate the prime factors of 5621 and 5637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5621 and 5637.

How to find the GCF of 5621 and 5637?

We will first find the prime factorization of 5621 and 5637. After we will calculate the factors of 5621 and 5637 and find the biggest common factor number .

Step-1: Prime Factorization of 5621

Prime factors of 5621 are 7, 11, 73. Prime factorization of 5621 in exponential form is:

5621 = 7¹ × 11¹ × 73¹

Step-2: Prime Factorization of 5637

Prime factors of 5637 are 3, 1879. Prime factorization of 5637 in exponential form is:

5637 = 3¹ × 1879¹

Step-3: Factors of 5621

List of positive integer factors of 5621 that divides 5621 without a remainder.

1, 7, 11, 73, 77, 511, 803

Step-4: Factors of 5637

List of positive integer factors of 5637 that divides 5621 without a remainder.

1, 3, 1879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5621 and 5637. The biggest common factor number is the GCF number.
So the greatest common factor 5621 and 5637 is 1.

Also check out the Least Common Multiple of 5621 and 5637