What is the Greatest Common Factor of 18557 and 18568?

Greatest common factor (GCF) of 18557 and 18568 is 11.

GCF(18557,18568) = 11

We will now calculate the prime factors of 18557 and 18568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18557 and 18568.

How to find the GCF of 18557 and 18568?

We will first find the prime factorization of 18557 and 18568. After we will calculate the factors of 18557 and 18568 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18568

Prime factors of 18568 are 2, 11, 211. Prime factorization of 18568 in exponential form is:

18568 = 2³ × 11¹ × 211¹

Step-3: Factors of 18557

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

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

Step-4: Factors of 18568

List of positive integer factors of 18568 that divides 18557 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 211, 422, 844, 1688, 2321, 4642, 9284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18557 and 18568. The biggest common factor number is the GCF number.
So the greatest common factor 18557 and 18568 is 11.

Also check out the Least Common Multiple of 18557 and 18568