What is the Greatest Common Factor of 60838 and 60849?

Greatest common factor (GCF) of 60838 and 60849 is 1.

GCF(60838,60849) = 1

We will now calculate the prime factors of 60838 and 60849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60838 and 60849.

How to find the GCF of 60838 and 60849?

We will first find the prime factorization of 60838 and 60849. After we will calculate the factors of 60838 and 60849 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 60849

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

60849 = 3² × 6761¹

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 60849

List of positive integer factors of 60849 that divides 60838 without a remainder.

1, 3, 9, 6761, 20283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60838 and 60849. The biggest common factor number is the GCF number.
So the greatest common factor 60838 and 60849 is 1.

Also check out the Least Common Multiple of 60838 and 60849