What is the Greatest Common Factor of 60834 and 60849?

Greatest common factor (GCF) of 60834 and 60849 is 3.

GCF(60834,60849) = 3

We will now calculate the prime factors of 60834 and 60849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60834 and 60849.

How to find the GCF of 60834 and 60849?

We will first find the prime factorization of 60834 and 60849. After we will calculate the factors of 60834 and 60849 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 60849

Prime factors of 60849 are 3, 6761. Prime factorization of 60849 in exponential form is:

60849 = 3² × 6761¹

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 60849

List of positive integer factors of 60849 that divides 60834 without a remainder.

1, 3, 9, 6761, 20283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60834 and 60849. The biggest common factor number is the GCF number.
So the greatest common factor 60834 and 60849 is 3.

Also check out the Least Common Multiple of 60834 and 60849