What is the Greatest Common Factor of 40768 and 40788?

Greatest common factor (GCF) of 40768 and 40788 is 4.

GCF(40768,40788) = 4

We will now calculate the prime factors of 40768 and 40788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40768 and 40788.

How to find the GCF of 40768 and 40788?

We will first find the prime factorization of 40768 and 40788. After we will calculate the factors of 40768 and 40788 and find the biggest common factor number .

Step-1: 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-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 40768

List of positive integer factors of 40768 that divides 40768 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

Step-4: Factors of 40788

List of positive integer factors of 40788 that divides 40768 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 40768 and 40788. The biggest common factor number is the GCF number.
So the greatest common factor 40768 and 40788 is 4.

Also check out the Least Common Multiple of 40768 and 40788