What is the Greatest Common Factor of 40348 and 40355?

Greatest common factor (GCF) of 40348 and 40355 is 7.

GCF(40348,40355) = 7

We will now calculate the prime factors of 40348 and 40355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40348 and 40355.

How to find the GCF of 40348 and 40355?

We will first find the prime factorization of 40348 and 40355. After we will calculate the factors of 40348 and 40355 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40355

Prime factors of 40355 are 5, 7, 1153. Prime factorization of 40355 in exponential form is:

40355 = 5¹ × 7¹ × 1153¹

Step-3: Factors of 40348

List of positive integer factors of 40348 that divides 40348 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

Step-4: Factors of 40355

List of positive integer factors of 40355 that divides 40348 without a remainder.

1, 5, 7, 35, 1153, 5765, 8071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40348 and 40355. The biggest common factor number is the GCF number.
So the greatest common factor 40348 and 40355 is 7.

Also check out the Least Common Multiple of 40348 and 40355