What is the Greatest Common Factor of 18546 and 18557?

Greatest common factor (GCF) of 18546 and 18557 is 11.

GCF(18546,18557) = 11

We will now calculate the prime factors of 18546 and 18557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18546 and 18557.

How to find the GCF of 18546 and 18557?

We will first find the prime factorization of 18546 and 18557. After we will calculate the factors of 18546 and 18557 and find the biggest common factor number .

Step-1: Prime Factorization of 18546

Prime factors of 18546 are 2, 3, 11, 281. Prime factorization of 18546 in exponential form is:

18546 = 2¹ × 3¹ × 11¹ × 281¹

Step-2: Prime Factorization of 18557

Prime factors of 18557 are 7, 11, 241. Prime factorization of 18557 in exponential form is:

18557 = 7¹ × 11¹ × 241¹

Step-3: Factors of 18546

List of positive integer factors of 18546 that divides 18546 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 281, 562, 843, 1686, 3091, 6182, 9273

Step-4: Factors of 18557

List of positive integer factors of 18557 that divides 18546 without a remainder.

1, 7, 11, 77, 241, 1687, 2651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18546 and 18557. The biggest common factor number is the GCF number.
So the greatest common factor 18546 and 18557 is 11.

Also check out the Least Common Multiple of 18546 and 18557