What is the Greatest Common Factor of 68340 and 68348?

Greatest common factor (GCF) of 68340 and 68348 is 4.

GCF(68340,68348) = 4

We will now calculate the prime factors of 68340 and 68348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68340 and 68348.

How to find the GCF of 68340 and 68348?

We will first find the prime factorization of 68340 and 68348. After we will calculate the factors of 68340 and 68348 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68348

Prime factors of 68348 are 2, 7, 2441. Prime factorization of 68348 in exponential form is:

68348 = 2² × 7¹ × 2441¹

Step-3: Factors of 68340

List of positive integer factors of 68340 that divides 68340 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

Step-4: Factors of 68348

List of positive integer factors of 68348 that divides 68340 without a remainder.

1, 2, 4, 7, 14, 28, 2441, 4882, 9764, 17087, 34174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68340 and 68348. The biggest common factor number is the GCF number.
So the greatest common factor 68340 and 68348 is 4.

Also check out the Least Common Multiple of 68340 and 68348