What is the Greatest Common Factor of 17842 and 17853?

Greatest common factor (GCF) of 17842 and 17853 is 11.

GCF(17842,17853) = 11

We will now calculate the prime factors of 17842 and 17853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17842 and 17853.

How to find the GCF of 17842 and 17853?

We will first find the prime factorization of 17842 and 17853. After we will calculate the factors of 17842 and 17853 and find the biggest common factor number .

Step-1: Prime Factorization of 17842

Prime factors of 17842 are 2, 11, 811. Prime factorization of 17842 in exponential form is:

17842 = 2¹ × 11¹ × 811¹

Step-2: Prime Factorization of 17853

Prime factors of 17853 are 3, 11, 541. Prime factorization of 17853 in exponential form is:

17853 = 3¹ × 11¹ × 541¹

Step-3: Factors of 17842

List of positive integer factors of 17842 that divides 17842 without a remainder.

1, 2, 11, 22, 811, 1622, 8921

Step-4: Factors of 17853

List of positive integer factors of 17853 that divides 17842 without a remainder.

1, 3, 11, 33, 541, 1623, 5951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17842 and 17853. The biggest common factor number is the GCF number.
So the greatest common factor 17842 and 17853 is 11.

Also check out the Least Common Multiple of 17842 and 17853