What is the Greatest Common Factor of 67344 and 67351?

Greatest common factor (GCF) of 67344 and 67351 is 1.

GCF(67344,67351) = 1

We will now calculate the prime factors of 67344 and 67351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67344 and 67351.

How to find the GCF of 67344 and 67351?

We will first find the prime factorization of 67344 and 67351. After we will calculate the factors of 67344 and 67351 and find the biggest common factor number .

Step-1: Prime Factorization of 67344

Prime factors of 67344 are 2, 3, 23, 61. Prime factorization of 67344 in exponential form is:

67344 = 2⁴ × 3¹ × 23¹ × 61¹

Step-2: Prime Factorization of 67351

Prime factors of 67351 are 47, 1433. Prime factorization of 67351 in exponential form is:

67351 = 47¹ × 1433¹

Step-3: Factors of 67344

List of positive integer factors of 67344 that divides 67344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 61, 69, 92, 122, 138, 183, 184, 244, 276, 366, 368, 488, 552, 732, 976, 1104, 1403, 1464, 2806, 2928, 4209, 5612, 8418, 11224, 16836, 22448, 33672

Step-4: Factors of 67351

List of positive integer factors of 67351 that divides 67344 without a remainder.

1, 47, 1433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67344 and 67351. The biggest common factor number is the GCF number.
So the greatest common factor 67344 and 67351 is 1.

Also check out the Least Common Multiple of 67344 and 67351