What is the Greatest Common Factor of 40836 and 40852?

Greatest common factor (GCF) of 40836 and 40852 is 4.

GCF(40836,40852) = 4

We will now calculate the prime factors of 40836 and 40852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40836 and 40852.

How to find the GCF of 40836 and 40852?

We will first find the prime factorization of 40836 and 40852. After we will calculate the factors of 40836 and 40852 and find the biggest common factor number .

Step-1: Prime Factorization of 40836

Prime factors of 40836 are 2, 3, 41, 83. Prime factorization of 40836 in exponential form is:

40836 = 2² × 3¹ × 41¹ × 83¹

Step-2: Prime Factorization of 40852

Prime factors of 40852 are 2, 7, 1459. Prime factorization of 40852 in exponential form is:

40852 = 2² × 7¹ × 1459¹

Step-3: Factors of 40836

List of positive integer factors of 40836 that divides 40836 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 83, 123, 164, 166, 246, 249, 332, 492, 498, 996, 3403, 6806, 10209, 13612, 20418

Step-4: Factors of 40852

List of positive integer factors of 40852 that divides 40836 without a remainder.

1, 2, 4, 7, 14, 28, 1459, 2918, 5836, 10213, 20426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40836 and 40852. The biggest common factor number is the GCF number.
So the greatest common factor 40836 and 40852 is 4.

Also check out the Least Common Multiple of 40836 and 40852