What is the Greatest Common Factor of 40220 and 40234?

Greatest common factor (GCF) of 40220 and 40234 is 2.

GCF(40220,40234) = 2

We will now calculate the prime factors of 40220 and 40234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40220 and 40234.

How to find the GCF of 40220 and 40234?

We will first find the prime factorization of 40220 and 40234. After we will calculate the factors of 40220 and 40234 and find the biggest common factor number .

Step-1: Prime Factorization of 40220

Prime factors of 40220 are 2, 5, 2011. Prime factorization of 40220 in exponential form is:

40220 = 2² × 5¹ × 2011¹

Step-2: Prime Factorization of 40234

Prime factors of 40234 are 2, 20117. Prime factorization of 40234 in exponential form is:

40234 = 2¹ × 20117¹

Step-3: Factors of 40220

List of positive integer factors of 40220 that divides 40220 without a remainder.

1, 2, 4, 5, 10, 20, 2011, 4022, 8044, 10055, 20110

Step-4: Factors of 40234

List of positive integer factors of 40234 that divides 40220 without a remainder.

1, 2, 20117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40220 and 40234. The biggest common factor number is the GCF number.
So the greatest common factor 40220 and 40234 is 2.

Also check out the Least Common Multiple of 40220 and 40234