What is the Greatest Common Factor of 40228 and 40242?

Greatest common factor (GCF) of 40228 and 40242 is 2.

GCF(40228,40242) = 2

We will now calculate the prime factors of 40228 and 40242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40228 and 40242.

How to find the GCF of 40228 and 40242?

We will first find the prime factorization of 40228 and 40242. After we will calculate the factors of 40228 and 40242 and find the biggest common factor number .

Step-1: Prime Factorization of 40228

Prime factors of 40228 are 2, 89, 113. Prime factorization of 40228 in exponential form is:

40228 = 2² × 89¹ × 113¹

Step-2: Prime Factorization of 40242

Prime factors of 40242 are 2, 3, 19, 353. Prime factorization of 40242 in exponential form is:

40242 = 2¹ × 3¹ × 19¹ × 353¹

Step-3: Factors of 40228

List of positive integer factors of 40228 that divides 40228 without a remainder.

1, 2, 4, 89, 113, 178, 226, 356, 452, 10057, 20114

Step-4: Factors of 40242

List of positive integer factors of 40242 that divides 40228 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 353, 706, 1059, 2118, 6707, 13414, 20121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40228 and 40242. The biggest common factor number is the GCF number.
So the greatest common factor 40228 and 40242 is 2.

Also check out the Least Common Multiple of 40228 and 40242