What is the Greatest Common Factor of 42200 and 42206?

Greatest common factor (GCF) of 42200 and 42206 is 2.

GCF(42200,42206) = 2

We will now calculate the prime factors of 42200 and 42206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42200 and 42206.

How to find the GCF of 42200 and 42206?

We will first find the prime factorization of 42200 and 42206. After we will calculate the factors of 42200 and 42206 and find the biggest common factor number .

Step-1: Prime Factorization of 42200

Prime factors of 42200 are 2, 5, 211. Prime factorization of 42200 in exponential form is:

42200 = 2³ × 5² × 211¹

Step-2: Prime Factorization of 42206

Prime factors of 42206 are 2, 47, 449. Prime factorization of 42206 in exponential form is:

42206 = 2¹ × 47¹ × 449¹

Step-3: Factors of 42200

List of positive integer factors of 42200 that divides 42200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 211, 422, 844, 1055, 1688, 2110, 4220, 5275, 8440, 10550, 21100

Step-4: Factors of 42206

List of positive integer factors of 42206 that divides 42200 without a remainder.

1, 2, 47, 94, 449, 898, 21103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42200 and 42206. The biggest common factor number is the GCF number.
So the greatest common factor 42200 and 42206 is 2.

Also check out the Least Common Multiple of 42200 and 42206