What is the Greatest Common Factor of 40337 and 40348?

Greatest common factor (GCF) of 40337 and 40348 is 11.

GCF(40337,40348) = 11

We will now calculate the prime factors of 40337 and 40348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40337 and 40348.

How to find the GCF of 40337 and 40348?

We will first find the prime factorization of 40337 and 40348. After we will calculate the factors of 40337 and 40348 and find the biggest common factor number .

Step-1: Prime Factorization of 40337

Prime factors of 40337 are 11, 19, 193. Prime factorization of 40337 in exponential form is:

40337 = 11¹ × 19¹ × 193¹

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 40337

List of positive integer factors of 40337 that divides 40337 without a remainder.

1, 11, 19, 193, 209, 2123, 3667

Step-4: Factors of 40348

List of positive integer factors of 40348 that divides 40337 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 40337 and 40348. The biggest common factor number is the GCF number.
So the greatest common factor 40337 and 40348 is 11.

Also check out the Least Common Multiple of 40337 and 40348