What is the Greatest Common Factor of 60843 and 60858?

Greatest common factor (GCF) of 60843 and 60858 is 3.

GCF(60843,60858) = 3

We will now calculate the prime factors of 60843 and 60858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60843 and 60858.

How to find the GCF of 60843 and 60858?

We will first find the prime factorization of 60843 and 60858. After we will calculate the factors of 60843 and 60858 and find the biggest common factor number .

Step-1: Prime Factorization of 60843

Prime factors of 60843 are 3, 17, 1193. Prime factorization of 60843 in exponential form is:

60843 = 3¹ × 17¹ × 1193¹

Step-2: Prime Factorization of 60858

Prime factors of 60858 are 2, 3, 7, 23. Prime factorization of 60858 in exponential form is:

60858 = 2¹ × 3³ × 7² × 23¹

Step-3: Factors of 60843

List of positive integer factors of 60843 that divides 60843 without a remainder.

1, 3, 17, 51, 1193, 3579, 20281

Step-4: Factors of 60858

List of positive integer factors of 60858 that divides 60843 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 49, 54, 63, 69, 98, 126, 138, 147, 161, 189, 207, 294, 322, 378, 414, 441, 483, 621, 882, 966, 1127, 1242, 1323, 1449, 2254, 2646, 2898, 3381, 4347, 6762, 8694, 10143, 20286, 30429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60843 and 60858. The biggest common factor number is the GCF number.
So the greatest common factor 60843 and 60858 is 3.

Also check out the Least Common Multiple of 60843 and 60858