What is the Greatest Common Factor of 40754 and 40768?

Greatest common factor (GCF) of 40754 and 40768 is 14.

GCF(40754,40768) = 14

We will now calculate the prime factors of 40754 and 40768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40754 and 40768.

How to find the GCF of 40754 and 40768?

We will first find the prime factorization of 40754 and 40768. After we will calculate the factors of 40754 and 40768 and find the biggest common factor number .

Step-1: Prime Factorization of 40754

Prime factors of 40754 are 2, 7, 41, 71. Prime factorization of 40754 in exponential form is:

40754 = 2¹ × 7¹ × 41¹ × 71¹

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 40754

List of positive integer factors of 40754 that divides 40754 without a remainder.

1, 2, 7, 14, 41, 71, 82, 142, 287, 497, 574, 994, 2911, 5822, 20377

Step-4: Factors of 40768

List of positive integer factors of 40768 that divides 40754 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 40754 and 40768. The biggest common factor number is the GCF number.
So the greatest common factor 40754 and 40768 is 14.

Also check out the Least Common Multiple of 40754 and 40768