What is the Greatest Common Factor of 40568 and 40574?

Greatest common factor (GCF) of 40568 and 40574 is 2.

GCF(40568,40574) = 2

We will now calculate the prime factors of 40568 and 40574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40568 and 40574.

How to find the GCF of 40568 and 40574?

We will first find the prime factorization of 40568 and 40574. After we will calculate the factors of 40568 and 40574 and find the biggest common factor number .

Step-1: Prime Factorization of 40568

Prime factors of 40568 are 2, 11, 461. Prime factorization of 40568 in exponential form is:

40568 = 2³ × 11¹ × 461¹

Step-2: Prime Factorization of 40574

Prime factors of 40574 are 2, 20287. Prime factorization of 40574 in exponential form is:

40574 = 2¹ × 20287¹

Step-3: Factors of 40568

List of positive integer factors of 40568 that divides 40568 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 461, 922, 1844, 3688, 5071, 10142, 20284

Step-4: Factors of 40574

List of positive integer factors of 40574 that divides 40568 without a remainder.

1, 2, 20287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40568 and 40574. The biggest common factor number is the GCF number.
So the greatest common factor 40568 and 40574 is 2.

Also check out the Least Common Multiple of 40568 and 40574