What is the Greatest Common Factor of 60819 and 60838?

Greatest common factor (GCF) of 60819 and 60838 is 19.

GCF(60819,60838) = 19

We will now calculate the prime factors of 60819 and 60838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60819 and 60838.

How to find the GCF of 60819 and 60838?

We will first find the prime factorization of 60819 and 60838. After we will calculate the factors of 60819 and 60838 and find the biggest common factor number .

Step-1: Prime Factorization of 60819

Prime factors of 60819 are 3, 11, 19, 97. Prime factorization of 60819 in exponential form is:

60819 = 3¹ × 11¹ × 19¹ × 97¹

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 60819

List of positive integer factors of 60819 that divides 60819 without a remainder.

1, 3, 11, 19, 33, 57, 97, 209, 291, 627, 1067, 1843, 3201, 5529, 20273

Step-4: Factors of 60838

List of positive integer factors of 60838 that divides 60819 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60819 and 60838. The biggest common factor number is the GCF number.
So the greatest common factor 60819 and 60838 is 19.

Also check out the Least Common Multiple of 60819 and 60838