What is the Greatest Common Factor of 40362 and 40382?

Greatest common factor (GCF) of 40362 and 40382 is 2.

GCF(40362,40382) = 2

We will now calculate the prime factors of 40362 and 40382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40362 and 40382.

How to find the GCF of 40362 and 40382?

We will first find the prime factorization of 40362 and 40382. After we will calculate the factors of 40362 and 40382 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40382

Prime factors of 40382 are 2, 61, 331. Prime factorization of 40382 in exponential form is:

40382 = 2¹ × 61¹ × 331¹

Step-3: Factors of 40362

List of positive integer factors of 40362 that divides 40362 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

Step-4: Factors of 40382

List of positive integer factors of 40382 that divides 40362 without a remainder.

1, 2, 61, 122, 331, 662, 20191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40362 and 40382. The biggest common factor number is the GCF number.
So the greatest common factor 40362 and 40382 is 2.

Also check out the Least Common Multiple of 40362 and 40382