What is the Greatest Common Factor of 40788 and 40796?

Greatest common factor (GCF) of 40788 and 40796 is 4.

GCF(40788,40796) = 4

We will now calculate the prime factors of 40788 and 40796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40788 and 40796.

How to find the GCF of 40788 and 40796?

We will first find the prime factorization of 40788 and 40796. After we will calculate the factors of 40788 and 40796 and find the biggest common factor number .

Step-1: Prime Factorization of 40788

Prime factors of 40788 are 2, 3, 11, 103. Prime factorization of 40788 in exponential form is:

40788 = 2² × 3² × 11¹ × 103¹

Step-2: 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-3: Factors of 40788

List of positive integer factors of 40788 that divides 40788 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 103, 132, 198, 206, 309, 396, 412, 618, 927, 1133, 1236, 1854, 2266, 3399, 3708, 4532, 6798, 10197, 13596, 20394

Step-4: Factors of 40796

List of positive integer factors of 40796 that divides 40788 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40788 and 40796. The biggest common factor number is the GCF number.
So the greatest common factor 40788 and 40796 is 4.

Also check out the Least Common Multiple of 40788 and 40796