What is the Greatest Common Factor of 40353 and 40362?

Greatest common factor (GCF) of 40353 and 40362 is 3.

GCF(40353,40362) = 3

We will now calculate the prime factors of 40353 and 40362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40353 and 40362.

How to find the GCF of 40353 and 40362?

We will first find the prime factorization of 40353 and 40362. After we will calculate the factors of 40353 and 40362 and find the biggest common factor number .

Step-1: Prime Factorization of 40353

Prime factors of 40353 are 3, 13451. Prime factorization of 40353 in exponential form is:

40353 = 3¹ × 13451¹

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 40353

List of positive integer factors of 40353 that divides 40353 without a remainder.

1, 3, 13451

Step-4: Factors of 40362

List of positive integer factors of 40362 that divides 40353 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 40353 and 40362. The biggest common factor number is the GCF number.
So the greatest common factor 40353 and 40362 is 3.

Also check out the Least Common Multiple of 40353 and 40362