What is the Greatest Common Factor of 40796 and 40810?

Greatest common factor (GCF) of 40796 and 40810 is 14.

GCF(40796,40810) = 14

We will now calculate the prime factors of 40796 and 40810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40796 and 40810.

How to find the GCF of 40796 and 40810?

We will first find the prime factorization of 40796 and 40810. After we will calculate the factors of 40796 and 40810 and find the biggest common factor number .

Step-1: Prime Factorization of 40796

Prime factors of 40796 are 2, 7, 31, 47. Prime factorization of 40796 in exponential form is:

40796 = 2² × 7¹ × 31¹ × 47¹

Step-2: 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-3: Factors of 40796

List of positive integer factors of 40796 that divides 40796 without a remainder.

1, 2, 4, 7, 14, 28, 31, 47, 62, 94, 124, 188, 217, 329, 434, 658, 868, 1316, 1457, 2914, 5828, 10199, 20398

Step-4: Factors of 40810

List of positive integer factors of 40810 that divides 40796 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40796 and 40810. The biggest common factor number is the GCF number.
So the greatest common factor 40796 and 40810 is 14.

Also check out the Least Common Multiple of 40796 and 40810