What is the Greatest Common Factor of 68320 and 68330?

Greatest common factor (GCF) of 68320 and 68330 is 10.

GCF(68320,68330) = 10

We will now calculate the prime factors of 68320 and 68330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68320 and 68330.

How to find the GCF of 68320 and 68330?

We will first find the prime factorization of 68320 and 68330. After we will calculate the factors of 68320 and 68330 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 68330

Prime factors of 68330 are 2, 5, 6833. Prime factorization of 68330 in exponential form is:

68330 = 2¹ × 5¹ × 6833¹

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 68330

List of positive integer factors of 68330 that divides 68320 without a remainder.

1, 2, 5, 10, 6833, 13666, 34165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68320 and 68330. The biggest common factor number is the GCF number.
So the greatest common factor 68320 and 68330 is 10.

Also check out the Least Common Multiple of 68320 and 68330