What is the Greatest Common Factor of 42228 and 42234?

Greatest common factor (GCF) of 42228 and 42234 is 6.

GCF(42228,42234) = 6

We will now calculate the prime factors of 42228 and 42234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42228 and 42234.

How to find the GCF of 42228 and 42234?

We will first find the prime factorization of 42228 and 42234. After we will calculate the factors of 42228 and 42234 and find the biggest common factor number .

Step-1: Prime Factorization of 42228

Prime factors of 42228 are 2, 3, 17, 23. Prime factorization of 42228 in exponential form is:

42228 = 2² × 3³ × 17¹ × 23¹

Step-2: Prime Factorization of 42234

Prime factors of 42234 are 2, 3, 7039. Prime factorization of 42234 in exponential form is:

42234 = 2¹ × 3¹ × 7039¹

Step-3: Factors of 42228

List of positive integer factors of 42228 that divides 42228 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 23, 27, 34, 36, 46, 51, 54, 68, 69, 92, 102, 108, 138, 153, 204, 207, 276, 306, 391, 414, 459, 612, 621, 782, 828, 918, 1173, 1242, 1564, 1836, 2346, 2484, 3519, 4692, 7038, 10557, 14076, 21114

Step-4: Factors of 42234

List of positive integer factors of 42234 that divides 42228 without a remainder.

1, 2, 3, 6, 7039, 14078, 21117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42228 and 42234. The biggest common factor number is the GCF number.
So the greatest common factor 42228 and 42234 is 6.

Also check out the Least Common Multiple of 42228 and 42234