What is the Greatest Common Factor of 13574 and 13591?

Greatest common factor (GCF) of 13574 and 13591 is 1.

GCF(13574,13591) = 1

We will now calculate the prime factors of 13574 and 13591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13574 and 13591.

How to find the GCF of 13574 and 13591?

We will first find the prime factorization of 13574 and 13591. After we will calculate the factors of 13574 and 13591 and find the biggest common factor number .

Step-1: Prime Factorization of 13574

Prime factors of 13574 are 2, 11, 617. Prime factorization of 13574 in exponential form is:

13574 = 2¹ × 11¹ × 617¹

Step-2: Prime Factorization of 13591

Prime factors of 13591 are 13591. Prime factorization of 13591 in exponential form is:

13591 = 13591¹

Step-3: Factors of 13574

List of positive integer factors of 13574 that divides 13574 without a remainder.

1, 2, 11, 22, 617, 1234, 6787

Step-4: Factors of 13591

List of positive integer factors of 13591 that divides 13574 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13574 and 13591. The biggest common factor number is the GCF number.
So the greatest common factor 13574 and 13591 is 1.

Also check out the Least Common Multiple of 13574 and 13591