What is the Greatest Common Factor of 67328 and 67340?

Greatest common factor (GCF) of 67328 and 67340 is 4.

GCF(67328,67340) = 4

We will now calculate the prime factors of 67328 and 67340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67328 and 67340.

How to find the GCF of 67328 and 67340?

We will first find the prime factorization of 67328 and 67340. After we will calculate the factors of 67328 and 67340 and find the biggest common factor number .

Step-1: Prime Factorization of 67328

Prime factors of 67328 are 2, 263. Prime factorization of 67328 in exponential form is:

67328 = 2⁸ × 263¹

Step-2: Prime Factorization of 67340

Prime factors of 67340 are 2, 5, 7, 13, 37. Prime factorization of 67340 in exponential form is:

67340 = 2² × 5¹ × 7¹ × 13¹ × 37¹

Step-3: Factors of 67328

List of positive integer factors of 67328 that divides 67328 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 263, 526, 1052, 2104, 4208, 8416, 16832, 33664

Step-4: Factors of 67340

List of positive integer factors of 67340 that divides 67328 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 37, 52, 65, 70, 74, 91, 130, 140, 148, 182, 185, 259, 260, 364, 370, 455, 481, 518, 740, 910, 962, 1036, 1295, 1820, 1924, 2405, 2590, 3367, 4810, 5180, 6734, 9620, 13468, 16835, 33670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67328 and 67340. The biggest common factor number is the GCF number.
So the greatest common factor 67328 and 67340 is 4.

Also check out the Least Common Multiple of 67328 and 67340