What is the Greatest Common Factor of 60834 and 60843?

Greatest common factor (GCF) of 60834 and 60843 is 3.

GCF(60834,60843) = 3

We will now calculate the prime factors of 60834 and 60843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60834 and 60843.

How to find the GCF of 60834 and 60843?

We will first find the prime factorization of 60834 and 60843. After we will calculate the factors of 60834 and 60843 and find the biggest common factor number .

Step-1: Prime Factorization of 60834

Prime factors of 60834 are 2, 3, 10139. Prime factorization of 60834 in exponential form is:

60834 = 2¹ × 3¹ × 10139¹

Step-2: 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-3: Factors of 60834

List of positive integer factors of 60834 that divides 60834 without a remainder.

1, 2, 3, 6, 10139, 20278, 30417

Step-4: Factors of 60843

List of positive integer factors of 60843 that divides 60834 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60834 and 60843. The biggest common factor number is the GCF number.
So the greatest common factor 60834 and 60843 is 3.

Also check out the Least Common Multiple of 60834 and 60843