What is the Greatest Common Factor of 40812 and 40824?

Greatest common factor (GCF) of 40812 and 40824 is 12.

GCF(40812,40824) = 12

We will now calculate the prime factors of 40812 and 40824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40812 and 40824.

How to find the GCF of 40812 and 40824?

We will first find the prime factorization of 40812 and 40824. After we will calculate the factors of 40812 and 40824 and find the biggest common factor number .

Step-1: Prime Factorization of 40812

Prime factors of 40812 are 2, 3, 19, 179. Prime factorization of 40812 in exponential form is:

40812 = 2² × 3¹ × 19¹ × 179¹

Step-2: 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-3: Factors of 40812

List of positive integer factors of 40812 that divides 40812 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 179, 228, 358, 537, 716, 1074, 2148, 3401, 6802, 10203, 13604, 20406

Step-4: Factors of 40824

List of positive integer factors of 40824 that divides 40812 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40812 and 40824. The biggest common factor number is the GCF number.
So the greatest common factor 40812 and 40824 is 12.

Also check out the Least Common Multiple of 40812 and 40824