What is the Greatest Common Factor of 67848 and 67853?

Greatest common factor (GCF) of 67848 and 67853 is 1.

GCF(67848,67853) = 1

We will now calculate the prime factors of 67848 and 67853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67848 and 67853.

How to find the GCF of 67848 and 67853?

We will first find the prime factorization of 67848 and 67853. After we will calculate the factors of 67848 and 67853 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 67853

Prime factors of 67853 are 67853. Prime factorization of 67853 in exponential form is:

67853 = 67853¹

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 67853

List of positive integer factors of 67853 that divides 67848 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67848 and 67853. The biggest common factor number is the GCF number.
So the greatest common factor 67848 and 67853 is 1.

Also check out the Least Common Multiple of 67848 and 67853