What is the Greatest Common Factor of 42214 and 42228?

Greatest common factor (GCF) of 42214 and 42228 is 2.

GCF(42214,42228) = 2

We will now calculate the prime factors of 42214 and 42228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42214 and 42228.

How to find the GCF of 42214 and 42228?

We will first find the prime factorization of 42214 and 42228. After we will calculate the factors of 42214 and 42228 and find the biggest common factor number .

Step-1: Prime Factorization of 42214

Prime factors of 42214 are 2, 21107. Prime factorization of 42214 in exponential form is:

42214 = 2¹ × 21107¹

Step-2: 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-3: Factors of 42214

List of positive integer factors of 42214 that divides 42214 without a remainder.

1, 2, 21107

Step-4: Factors of 42228

List of positive integer factors of 42228 that divides 42214 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42214 and 42228. The biggest common factor number is the GCF number.
So the greatest common factor 42214 and 42228 is 2.

Also check out the Least Common Multiple of 42214 and 42228