What is the Greatest Common Factor of 57849 and 57860?

Greatest common factor (GCF) of 57849 and 57860 is 11.

GCF(57849,57860) = 11

We will now calculate the prime factors of 57849 and 57860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57849 and 57860.

How to find the GCF of 57849 and 57860?

We will first find the prime factorization of 57849 and 57860. After we will calculate the factors of 57849 and 57860 and find the biggest common factor number .

Step-1: Prime Factorization of 57849

Prime factors of 57849 are 3, 11, 1753. Prime factorization of 57849 in exponential form is:

57849 = 3¹ × 11¹ × 1753¹

Step-2: Prime Factorization of 57860

Prime factors of 57860 are 2, 5, 11, 263. Prime factorization of 57860 in exponential form is:

57860 = 2² × 5¹ × 11¹ × 263¹

Step-3: Factors of 57849

List of positive integer factors of 57849 that divides 57849 without a remainder.

1, 3, 11, 33, 1753, 5259, 19283

Step-4: Factors of 57860

List of positive integer factors of 57860 that divides 57849 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 263, 526, 1052, 1315, 2630, 2893, 5260, 5786, 11572, 14465, 28930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57849 and 57860. The biggest common factor number is the GCF number.
So the greatest common factor 57849 and 57860 is 11.

Also check out the Least Common Multiple of 57849 and 57860