What is the Greatest Common Factor of 67838 and 67848?

Greatest common factor (GCF) of 67838 and 67848 is 2.

GCF(67838,67848) = 2

We will now calculate the prime factors of 67838 and 67848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67838 and 67848.

How to find the GCF of 67838 and 67848?

We will first find the prime factorization of 67838 and 67848. After we will calculate the factors of 67838 and 67848 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 67848

Prime factors of 67848 are 2, 3, 11, 257. Prime factorization of 67848 in exponential form is:

67848 = 2³ × 3¹ × 11¹ × 257¹

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 67848

List of positive integer factors of 67848 that divides 67838 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 257, 264, 514, 771, 1028, 1542, 2056, 2827, 3084, 5654, 6168, 8481, 11308, 16962, 22616, 33924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67838 and 67848. The biggest common factor number is the GCF number.
So the greatest common factor 67838 and 67848 is 2.

Also check out the Least Common Multiple of 67838 and 67848