What is the Greatest Common Factor of 40294 and 40304?

Greatest common factor (GCF) of 40294 and 40304 is 2.

GCF(40294,40304) = 2

We will now calculate the prime factors of 40294 and 40304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40294 and 40304.

How to find the GCF of 40294 and 40304?

We will first find the prime factorization of 40294 and 40304. After we will calculate the factors of 40294 and 40304 and find the biggest common factor number .

Step-1: Prime Factorization of 40294

Prime factors of 40294 are 2, 20147. Prime factorization of 40294 in exponential form is:

40294 = 2¹ × 20147¹

Step-2: Prime Factorization of 40304

Prime factors of 40304 are 2, 11, 229. Prime factorization of 40304 in exponential form is:

40304 = 2⁴ × 11¹ × 229¹

Step-3: Factors of 40294

List of positive integer factors of 40294 that divides 40294 without a remainder.

1, 2, 20147

Step-4: Factors of 40304

List of positive integer factors of 40304 that divides 40294 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 229, 458, 916, 1832, 2519, 3664, 5038, 10076, 20152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40294 and 40304. The biggest common factor number is the GCF number.
So the greatest common factor 40294 and 40304 is 2.

Also check out the Least Common Multiple of 40294 and 40304