What is the Greatest Common Factor of 42228 and 42244?

Greatest common factor (GCF) of 42228 and 42244 is 4.

GCF(42228,42244) = 4

We will now calculate the prime factors of 42228 and 42244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42228 and 42244.

How to find the GCF of 42228 and 42244?

We will first find the prime factorization of 42228 and 42244. After we will calculate the factors of 42228 and 42244 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 42244

Prime factors of 42244 are 2, 59, 179. Prime factorization of 42244 in exponential form is:

42244 = 2² × 59¹ × 179¹

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 42244

List of positive integer factors of 42244 that divides 42228 without a remainder.

1, 2, 4, 59, 118, 179, 236, 358, 716, 10561, 21122

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42228 and 42244. The biggest common factor number is the GCF number.
So the greatest common factor 42228 and 42244 is 4.

Also check out the Least Common Multiple of 42228 and 42244