What is the Greatest Common Factor of 40764 and 40782?

Greatest common factor (GCF) of 40764 and 40782 is 6.

GCF(40764,40782) = 6

We will now calculate the prime factors of 40764 and 40782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40764 and 40782.

How to find the GCF of 40764 and 40782?

We will first find the prime factorization of 40764 and 40782. After we will calculate the factors of 40764 and 40782 and find the biggest common factor number .

Step-1: Prime Factorization of 40764

Prime factors of 40764 are 2, 3, 43, 79. Prime factorization of 40764 in exponential form is:

40764 = 2² × 3¹ × 43¹ × 79¹

Step-2: 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-3: Factors of 40764

List of positive integer factors of 40764 that divides 40764 without a remainder.

1, 2, 3, 4, 6, 12, 43, 79, 86, 129, 158, 172, 237, 258, 316, 474, 516, 948, 3397, 6794, 10191, 13588, 20382

Step-4: Factors of 40782

List of positive integer factors of 40782 that divides 40764 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40764 and 40782. The biggest common factor number is the GCF number.
So the greatest common factor 40764 and 40782 is 6.

Also check out the Least Common Multiple of 40764 and 40782