What is the Greatest Common Factor of 40782 and 40788?

Greatest common factor (GCF) of 40782 and 40788 is 6.

GCF(40782,40788) = 6

We will now calculate the prime factors of 40782 and 40788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40782 and 40788.

How to find the GCF of 40782 and 40788?

We will first find the prime factorization of 40782 and 40788. After we will calculate the factors of 40782 and 40788 and find the biggest common factor number .

Step-1: Prime Factorization of 40782

Prime factors of 40782 are 2, 3, 7, 971. Prime factorization of 40782 in exponential form is:

40782 = 2¹ × 3¹ × 7¹ × 971¹

Step-2: 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-3: Factors of 40782

List of positive integer factors of 40782 that divides 40782 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 971, 1942, 2913, 5826, 6797, 13594, 20391

Step-4: Factors of 40788

List of positive integer factors of 40788 that divides 40782 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40782 and 40788. The biggest common factor number is the GCF number.
So the greatest common factor 40782 and 40788 is 6.

Also check out the Least Common Multiple of 40782 and 40788