What is the Greatest Common Factor of 5587 and 5604?

Greatest common factor (GCF) of 5587 and 5604 is 1.

GCF(5587,5604) = 1

We will now calculate the prime factors of 5587 and 5604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5587 and 5604.

How to find the GCF of 5587 and 5604?

We will first find the prime factorization of 5587 and 5604. After we will calculate the factors of 5587 and 5604 and find the biggest common factor number .

Step-1: Prime Factorization of 5587

Prime factors of 5587 are 37, 151. Prime factorization of 5587 in exponential form is:

5587 = 37¹ × 151¹

Step-2: Prime Factorization of 5604

Prime factors of 5604 are 2, 3, 467. Prime factorization of 5604 in exponential form is:

5604 = 2² × 3¹ × 467¹

Step-3: Factors of 5587

List of positive integer factors of 5587 that divides 5587 without a remainder.

1, 37, 151

Step-4: Factors of 5604

List of positive integer factors of 5604 that divides 5587 without a remainder.

1, 2, 3, 4, 6, 12, 467, 934, 1401, 1868, 2802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5587 and 5604. The biggest common factor number is the GCF number.
So the greatest common factor 5587 and 5604 is 1.

Also check out the Least Common Multiple of 5587 and 5604