What is the Greatest Common Factor of 68320 and 68340?

Greatest common factor (GCF) of 68320 and 68340 is 20.

GCF(68320,68340) = 20

We will now calculate the prime factors of 68320 and 68340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68320 and 68340.

How to find the GCF of 68320 and 68340?

We will first find the prime factorization of 68320 and 68340. After we will calculate the factors of 68320 and 68340 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 68340

Prime factors of 68340 are 2, 3, 5, 17, 67. Prime factorization of 68340 in exponential form is:

68340 = 2² × 3¹ × 5¹ × 17¹ × 67¹

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 68340

List of positive integer factors of 68340 that divides 68320 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 67, 68, 85, 102, 134, 170, 201, 204, 255, 268, 335, 340, 402, 510, 670, 804, 1005, 1020, 1139, 1340, 2010, 2278, 3417, 4020, 4556, 5695, 6834, 11390, 13668, 17085, 22780, 34170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68320 and 68340. The biggest common factor number is the GCF number.
So the greatest common factor 68320 and 68340 is 20.

Also check out the Least Common Multiple of 68320 and 68340