What is the Greatest Common Factor of 67838 and 67851?

Greatest common factor (GCF) of 67838 and 67851 is 1.

GCF(67838,67851) = 1

We will now calculate the prime factors of 67838 and 67851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67838 and 67851.

How to find the GCF of 67838 and 67851?

We will first find the prime factorization of 67838 and 67851. After we will calculate the factors of 67838 and 67851 and find the biggest common factor number .

Step-1: Prime Factorization of 67838

Prime factors of 67838 are 2, 107, 317. Prime factorization of 67838 in exponential form is:

67838 = 2¹ × 107¹ × 317¹

Step-2: Prime Factorization of 67851

Prime factors of 67851 are 3, 7, 359. Prime factorization of 67851 in exponential form is:

67851 = 3³ × 7¹ × 359¹

Step-3: Factors of 67838

List of positive integer factors of 67838 that divides 67838 without a remainder.

1, 2, 107, 214, 317, 634, 33919

Step-4: Factors of 67851

List of positive integer factors of 67851 that divides 67838 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 359, 1077, 2513, 3231, 7539, 9693, 22617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67838 and 67851. The biggest common factor number is the GCF number.
So the greatest common factor 67838 and 67851 is 1.

Also check out the Least Common Multiple of 67838 and 67851