What is the Greatest Common Factor of 13554 and 13574?

Greatest common factor (GCF) of 13554 and 13574 is 2.

GCF(13554,13574) = 2

We will now calculate the prime factors of 13554 and 13574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13554 and 13574.

How to find the GCF of 13554 and 13574?

We will first find the prime factorization of 13554 and 13574. After we will calculate the factors of 13554 and 13574 and find the biggest common factor number .

Step-1: Prime Factorization of 13554

Prime factors of 13554 are 2, 3, 251. Prime factorization of 13554 in exponential form is:

13554 = 2¹ × 3³ × 251¹

Step-2: 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-3: Factors of 13554

List of positive integer factors of 13554 that divides 13554 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 251, 502, 753, 1506, 2259, 4518, 6777

Step-4: Factors of 13574

List of positive integer factors of 13574 that divides 13554 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13554 and 13574. The biggest common factor number is the GCF number.
So the greatest common factor 13554 and 13574 is 2.

Also check out the Least Common Multiple of 13554 and 13574