What is the Greatest Common Factor of 40809 and 40824?

Greatest common factor (GCF) of 40809 and 40824 is 3.

GCF(40809,40824) = 3

We will now calculate the prime factors of 40809 and 40824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40809 and 40824.

How to find the GCF of 40809 and 40824?

We will first find the prime factorization of 40809 and 40824. After we will calculate the factors of 40809 and 40824 and find the biggest common factor number .

Step-1: Prime Factorization of 40809

Prime factors of 40809 are 3, 61, 223. Prime factorization of 40809 in exponential form is:

40809 = 3¹ × 61¹ × 223¹

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 40809

List of positive integer factors of 40809 that divides 40809 without a remainder.

1, 3, 61, 183, 223, 669, 13603

Step-4: Factors of 40824

List of positive integer factors of 40824 that divides 40809 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 40809 and 40824. The biggest common factor number is the GCF number.
So the greatest common factor 40809 and 40824 is 3.

Also check out the Least Common Multiple of 40809 and 40824