What is the Greatest Common Factor of 40764 and 40776?

Greatest common factor (GCF) of 40764 and 40776 is 12.

GCF(40764,40776) = 12

We will now calculate the prime factors of 40764 and 40776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40764 and 40776.

How to find the GCF of 40764 and 40776?

We will first find the prime factorization of 40764 and 40776. After we will calculate the factors of 40764 and 40776 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 40776

Prime factors of 40776 are 2, 3, 1699. Prime factorization of 40776 in exponential form is:

40776 = 2³ × 3¹ × 1699¹

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 40776

List of positive integer factors of 40776 that divides 40764 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1699, 3398, 5097, 6796, 10194, 13592, 20388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40764 and 40776. The biggest common factor number is the GCF number.
So the greatest common factor 40764 and 40776 is 12.

Also check out the Least Common Multiple of 40764 and 40776