What is the Greatest Common Factor of 67344 and 67354?

Greatest common factor (GCF) of 67344 and 67354 is 2.

GCF(67344,67354) = 2

We will now calculate the prime factors of 67344 and 67354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67344 and 67354.

How to find the GCF of 67344 and 67354?

We will first find the prime factorization of 67344 and 67354. After we will calculate the factors of 67344 and 67354 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 67354

Prime factors of 67354 are 2, 7, 17, 283. Prime factorization of 67354 in exponential form is:

67354 = 2¹ × 7¹ × 17¹ × 283¹

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 67354

List of positive integer factors of 67354 that divides 67344 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 283, 566, 1981, 3962, 4811, 9622, 33677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67344 and 67354. The biggest common factor number is the GCF number.
So the greatest common factor 67344 and 67354 is 2.

Also check out the Least Common Multiple of 67344 and 67354