What is the Greatest Common Factor of 13574 and 13586?

Greatest common factor (GCF) of 13574 and 13586 is 2.

GCF(13574,13586) = 2

We will now calculate the prime factors of 13574 and 13586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13574 and 13586.

How to find the GCF of 13574 and 13586?

We will first find the prime factorization of 13574 and 13586. After we will calculate the factors of 13574 and 13586 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 13586

Prime factors of 13586 are 2, 6793. Prime factorization of 13586 in exponential form is:

13586 = 2¹ × 6793¹

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 13586

List of positive integer factors of 13586 that divides 13574 without a remainder.

1, 2, 6793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13574 and 13586. The biggest common factor number is the GCF number.
So the greatest common factor 13574 and 13586 is 2.

Also check out the Least Common Multiple of 13574 and 13586