What is the Greatest Common Factor of 40810 and 40824?

Greatest common factor (GCF) of 40810 and 40824 is 14.

GCF(40810,40824) = 14

We will now calculate the prime factors of 40810 and 40824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40810 and 40824.

How to find the GCF of 40810 and 40824?

We will first find the prime factorization of 40810 and 40824. After we will calculate the factors of 40810 and 40824 and find the biggest common factor number .

Step-1: Prime Factorization of 40810

Prime factors of 40810 are 2, 5, 7, 11, 53. Prime factorization of 40810 in exponential form is:

40810 = 2¹ × 5¹ × 7¹ × 11¹ × 53¹

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 40810

List of positive integer factors of 40810 that divides 40810 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 53, 55, 70, 77, 106, 110, 154, 265, 371, 385, 530, 583, 742, 770, 1166, 1855, 2915, 3710, 4081, 5830, 8162, 20405

Step-4: Factors of 40824

List of positive integer factors of 40824 that divides 40810 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 40810 and 40824. The biggest common factor number is the GCF number.
So the greatest common factor 40810 and 40824 is 14.

Also check out the Least Common Multiple of 40810 and 40824