What is the Greatest Common Factor of 40764 and 40768?

Greatest common factor (GCF) of 40764 and 40768 is 4.

GCF(40764,40768) = 4

We will now calculate the prime factors of 40764 and 40768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40764 and 40768.

How to find the GCF of 40764 and 40768?

We will first find the prime factorization of 40764 and 40768. After we will calculate the factors of 40764 and 40768 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 40768

Prime factors of 40768 are 2, 7, 13. Prime factorization of 40768 in exponential form is:

40768 = 2⁶ × 7² × 13¹

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 40768

List of positive integer factors of 40768 that divides 40764 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 49, 52, 56, 64, 91, 98, 104, 112, 182, 196, 208, 224, 364, 392, 416, 448, 637, 728, 784, 832, 1274, 1456, 1568, 2548, 2912, 3136, 5096, 5824, 10192, 20384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40764 and 40768. The biggest common factor number is the GCF number.
So the greatest common factor 40764 and 40768 is 4.

Also check out the Least Common Multiple of 40764 and 40768