What is the Greatest Common Factor of 67848 and 67859?

Greatest common factor (GCF) of 67848 and 67859 is 11.

GCF(67848,67859) = 11

We will now calculate the prime factors of 67848 and 67859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67848 and 67859.

How to find the GCF of 67848 and 67859?

We will first find the prime factorization of 67848 and 67859. After we will calculate the factors of 67848 and 67859 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67859

Prime factors of 67859 are 11, 31, 199. Prime factorization of 67859 in exponential form is:

67859 = 11¹ × 31¹ × 199¹

Step-3: Factors of 67848

List of positive integer factors of 67848 that divides 67848 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

Step-4: Factors of 67859

List of positive integer factors of 67859 that divides 67848 without a remainder.

1, 11, 31, 199, 341, 2189, 6169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67848 and 67859. The biggest common factor number is the GCF number.
So the greatest common factor 67848 and 67859 is 11.

Also check out the Least Common Multiple of 67848 and 67859