What is the Greatest Common Factor of 13546 and 13562?

Greatest common factor (GCF) of 13546 and 13562 is 2.

GCF(13546,13562) = 2

We will now calculate the prime factors of 13546 and 13562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13546 and 13562.

How to find the GCF of 13546 and 13562?

We will first find the prime factorization of 13546 and 13562. After we will calculate the factors of 13546 and 13562 and find the biggest common factor number .

Step-1: Prime Factorization of 13546

Prime factors of 13546 are 2, 13, 521. Prime factorization of 13546 in exponential form is:

13546 = 2¹ × 13¹ × 521¹

Step-2: Prime Factorization of 13562

Prime factors of 13562 are 2, 6781. Prime factorization of 13562 in exponential form is:

13562 = 2¹ × 6781¹

Step-3: Factors of 13546

List of positive integer factors of 13546 that divides 13546 without a remainder.

1, 2, 13, 26, 521, 1042, 6773

Step-4: Factors of 13562

List of positive integer factors of 13562 that divides 13546 without a remainder.

1, 2, 6781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13546 and 13562. The biggest common factor number is the GCF number.
So the greatest common factor 13546 and 13562 is 2.

Also check out the Least Common Multiple of 13546 and 13562