What is the Greatest Common Factor of 60838 and 60857?

Greatest common factor (GCF) of 60838 and 60857 is 19.

GCF(60838,60857) = 19

We will now calculate the prime factors of 60838 and 60857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60838 and 60857.

How to find the GCF of 60838 and 60857?

We will first find the prime factorization of 60838 and 60857. After we will calculate the factors of 60838 and 60857 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60857

Prime factors of 60857 are 19, 3203. Prime factorization of 60857 in exponential form is:

60857 = 19¹ × 3203¹

Step-3: Factors of 60838

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

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

Step-4: Factors of 60857

List of positive integer factors of 60857 that divides 60838 without a remainder.

1, 19, 3203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60838 and 60857. The biggest common factor number is the GCF number.
So the greatest common factor 60838 and 60857 is 19.

Also check out the Least Common Multiple of 60838 and 60857