What is the Greatest Common Factor of 40736 and 40754?

Greatest common factor (GCF) of 40736 and 40754 is 2.

GCF(40736,40754) = 2

We will now calculate the prime factors of 40736 and 40754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40736 and 40754.

How to find the GCF of 40736 and 40754?

We will first find the prime factorization of 40736 and 40754. After we will calculate the factors of 40736 and 40754 and find the biggest common factor number .

Step-1: Prime Factorization of 40736

Prime factors of 40736 are 2, 19, 67. Prime factorization of 40736 in exponential form is:

40736 = 2⁵ × 19¹ × 67¹

Step-2: 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-3: Factors of 40736

List of positive integer factors of 40736 that divides 40736 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 67, 76, 134, 152, 268, 304, 536, 608, 1072, 1273, 2144, 2546, 5092, 10184, 20368

Step-4: Factors of 40754

List of positive integer factors of 40754 that divides 40736 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40736 and 40754. The biggest common factor number is the GCF number.
So the greatest common factor 40736 and 40754 is 2.

Also check out the Least Common Multiple of 40736 and 40754