What is the Greatest Common Factor of 40824 and 40836?

Greatest common factor (GCF) of 40824 and 40836 is 12.

GCF(40824,40836) = 12

We will now calculate the prime factors of 40824 and 40836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40824 and 40836.

How to find the GCF of 40824 and 40836?

We will first find the prime factorization of 40824 and 40836. After we will calculate the factors of 40824 and 40836 and find the biggest common factor number .

Step-1: Prime Factorization of 40824

Prime factors of 40824 are 2, 3, 7. Prime factorization of 40824 in exponential form is:

40824 = 2³ × 3⁶ × 7¹

Step-2: 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-3: Factors of 40824

List of positive integer factors of 40824 that divides 40824 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 243, 252, 324, 378, 486, 504, 567, 648, 729, 756, 972, 1134, 1458, 1512, 1701, 1944, 2268, 2916, 3402, 4536, 5103, 5832, 6804, 10206, 13608, 20412

Step-4: Factors of 40836

List of positive integer factors of 40836 that divides 40824 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40824 and 40836. The biggest common factor number is the GCF number.
So the greatest common factor 40824 and 40836 is 12.

Also check out the Least Common Multiple of 40824 and 40836