What is the Greatest Common Factor of 60834 and 60838?

Greatest common factor (GCF) of 60834 and 60838 is 2.

GCF(60834,60838) = 2

We will now calculate the prime factors of 60834 and 60838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60834 and 60838.

How to find the GCF of 60834 and 60838?

We will first find the prime factorization of 60834 and 60838. After we will calculate the factors of 60834 and 60838 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 60838

Prime factors of 60838 are 2, 19, 1601. Prime factorization of 60838 in exponential form is:

60838 = 2¹ × 19¹ × 1601¹

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 60838

List of positive integer factors of 60838 that divides 60834 without a remainder.

1, 2, 19, 38, 1601, 3202, 30419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60834 and 60838. The biggest common factor number is the GCF number.
So the greatest common factor 60834 and 60838 is 2.

Also check out the Least Common Multiple of 60834 and 60838