What is the Greatest Common Factor of 40894 and 40904?

Greatest common factor (GCF) of 40894 and 40904 is 2.

GCF(40894,40904) = 2

We will now calculate the prime factors of 40894 and 40904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40894 and 40904.

How to find the GCF of 40894 and 40904?

We will first find the prime factorization of 40894 and 40904. After we will calculate the factors of 40894 and 40904 and find the biggest common factor number .

Step-1: Prime Factorization of 40894

Prime factors of 40894 are 2, 7, 23, 127. Prime factorization of 40894 in exponential form is:

40894 = 2¹ × 7¹ × 23¹ × 127¹

Step-2: Prime Factorization of 40904

Prime factors of 40904 are 2, 5113. Prime factorization of 40904 in exponential form is:

40904 = 2³ × 5113¹

Step-3: Factors of 40894

List of positive integer factors of 40894 that divides 40894 without a remainder.

1, 2, 7, 14, 23, 46, 127, 161, 254, 322, 889, 1778, 2921, 5842, 20447

Step-4: Factors of 40904

List of positive integer factors of 40904 that divides 40894 without a remainder.

1, 2, 4, 8, 5113, 10226, 20452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40894 and 40904. The biggest common factor number is the GCF number.
So the greatest common factor 40894 and 40904 is 2.

Also check out the Least Common Multiple of 40894 and 40904