What is the Greatest Common Factor of 40334 and 40348?

Greatest common factor (GCF) of 40334 and 40348 is 14.

GCF(40334,40348) = 14

We will now calculate the prime factors of 40334 and 40348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40334 and 40348.

How to find the GCF of 40334 and 40348?

We will first find the prime factorization of 40334 and 40348. After we will calculate the factors of 40334 and 40348 and find the biggest common factor number .

Step-1: Prime Factorization of 40334

Prime factors of 40334 are 2, 7, 43, 67. Prime factorization of 40334 in exponential form is:

40334 = 2¹ × 7¹ × 43¹ × 67¹

Step-2: Prime Factorization of 40348

Prime factors of 40348 are 2, 7, 11, 131. Prime factorization of 40348 in exponential form is:

40348 = 2² × 7¹ × 11¹ × 131¹

Step-3: Factors of 40334

List of positive integer factors of 40334 that divides 40334 without a remainder.

1, 2, 7, 14, 43, 67, 86, 134, 301, 469, 602, 938, 2881, 5762, 20167

Step-4: Factors of 40348

List of positive integer factors of 40348 that divides 40334 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 131, 154, 262, 308, 524, 917, 1441, 1834, 2882, 3668, 5764, 10087, 20174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40334 and 40348. The biggest common factor number is the GCF number.
So the greatest common factor 40334 and 40348 is 14.

Also check out the Least Common Multiple of 40334 and 40348