What is the Greatest Common Factor of 40350 and 40362?

Greatest common factor (GCF) of 40350 and 40362 is 6.

GCF(40350,40362) = 6

We will now calculate the prime factors of 40350 and 40362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40350 and 40362.

How to find the GCF of 40350 and 40362?

We will first find the prime factorization of 40350 and 40362. After we will calculate the factors of 40350 and 40362 and find the biggest common factor number .

Step-1: Prime Factorization of 40350

Prime factors of 40350 are 2, 3, 5, 269. Prime factorization of 40350 in exponential form is:

40350 = 2¹ × 3¹ × 5² × 269¹

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 40350

List of positive integer factors of 40350 that divides 40350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 269, 538, 807, 1345, 1614, 2690, 4035, 6725, 8070, 13450, 20175

Step-4: Factors of 40362

List of positive integer factors of 40362 that divides 40350 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 40350 and 40362. The biggest common factor number is the GCF number.
So the greatest common factor 40350 and 40362 is 6.

Also check out the Least Common Multiple of 40350 and 40362