What is the Greatest Common Factor of 40347 and 40362?

Greatest common factor (GCF) of 40347 and 40362 is 3.

GCF(40347,40362) = 3

We will now calculate the prime factors of 40347 and 40362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40347 and 40362.

How to find the GCF of 40347 and 40362?

We will first find the prime factorization of 40347 and 40362. After we will calculate the factors of 40347 and 40362 and find the biggest common factor number .

Step-1: Prime Factorization of 40347

Prime factors of 40347 are 3, 4483. Prime factorization of 40347 in exponential form is:

40347 = 3² × 4483¹

Step-2: Prime Factorization of 40362

Prime factors of 40362 are 2, 3, 7, 31. Prime factorization of 40362 in exponential form is:

40362 = 2¹ × 3¹ × 7¹ × 31²

Step-3: Factors of 40347

List of positive integer factors of 40347 that divides 40347 without a remainder.

1, 3, 9, 4483, 13449

Step-4: Factors of 40362

List of positive integer factors of 40362 that divides 40347 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 961, 1302, 1922, 2883, 5766, 6727, 13454, 20181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40347 and 40362. The biggest common factor number is the GCF number.
So the greatest common factor 40347 and 40362 is 3.

Also check out the Least Common Multiple of 40347 and 40362