What is the Greatest Common Factor of 68320 and 68327?

Greatest common factor (GCF) of 68320 and 68327 is 7.

GCF(68320,68327) = 7

We will now calculate the prime factors of 68320 and 68327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68320 and 68327.

How to find the GCF of 68320 and 68327?

We will first find the prime factorization of 68320 and 68327. After we will calculate the factors of 68320 and 68327 and find the biggest common factor number .

Step-1: Prime Factorization of 68320

Prime factors of 68320 are 2, 5, 7, 61. Prime factorization of 68320 in exponential form is:

68320 = 2⁵ × 5¹ × 7¹ × 61¹

Step-2: Prime Factorization of 68327

Prime factors of 68327 are 7, 43, 227. Prime factorization of 68327 in exponential form is:

68327 = 7¹ × 43¹ × 227¹

Step-3: Factors of 68320

List of positive integer factors of 68320 that divides 68320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 61, 70, 80, 112, 122, 140, 160, 224, 244, 280, 305, 427, 488, 560, 610, 854, 976, 1120, 1220, 1708, 1952, 2135, 2440, 3416, 4270, 4880, 6832, 8540, 9760, 13664, 17080, 34160

Step-4: Factors of 68327

List of positive integer factors of 68327 that divides 68320 without a remainder.

1, 7, 43, 227, 301, 1589, 9761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68320 and 68327. The biggest common factor number is the GCF number.
So the greatest common factor 68320 and 68327 is 7.

Also check out the Least Common Multiple of 68320 and 68327