What is the Greatest Common Factor of 42228 and 42235?

Greatest common factor (GCF) of 42228 and 42235 is 1.

GCF(42228,42235) = 1

We will now calculate the prime factors of 42228 and 42235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42228 and 42235.

How to find the GCF of 42228 and 42235?

We will first find the prime factorization of 42228 and 42235. After we will calculate the factors of 42228 and 42235 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 42235

Prime factors of 42235 are 5, 8447. Prime factorization of 42235 in exponential form is:

42235 = 5¹ × 8447¹

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 42235

List of positive integer factors of 42235 that divides 42228 without a remainder.

1, 5, 8447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42228 and 42235. The biggest common factor number is the GCF number.
So the greatest common factor 42228 and 42235 is 1.

Also check out the Least Common Multiple of 42228 and 42235