What is the Greatest Common Factor of 40723 and 40736?

Greatest common factor (GCF) of 40723 and 40736 is 1.

GCF(40723,40736) = 1

We will now calculate the prime factors of 40723 and 40736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40723 and 40736.

How to find the GCF of 40723 and 40736?

We will first find the prime factorization of 40723 and 40736. After we will calculate the factors of 40723 and 40736 and find the biggest common factor number .

Step-1: Prime Factorization of 40723

Prime factors of 40723 are 193, 211. Prime factorization of 40723 in exponential form is:

40723 = 193¹ × 211¹

Step-2: 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-3: Factors of 40723

List of positive integer factors of 40723 that divides 40723 without a remainder.

1, 193, 211

Step-4: Factors of 40736

List of positive integer factors of 40736 that divides 40723 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40723 and 40736. The biggest common factor number is the GCF number.
So the greatest common factor 40723 and 40736 is 1.

Also check out the Least Common Multiple of 40723 and 40736