What is the Greatest Common Factor of 42205 and 42220?

Greatest common factor (GCF) of 42205 and 42220 is 5.

GCF(42205,42220) = 5

We will now calculate the prime factors of 42205 and 42220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42205 and 42220.

How to find the GCF of 42205 and 42220?

We will first find the prime factorization of 42205 and 42220. After we will calculate the factors of 42205 and 42220 and find the biggest common factor number .

Step-1: Prime Factorization of 42205

Prime factors of 42205 are 5, 23, 367. Prime factorization of 42205 in exponential form is:

42205 = 5¹ × 23¹ × 367¹

Step-2: Prime Factorization of 42220

Prime factors of 42220 are 2, 5, 2111. Prime factorization of 42220 in exponential form is:

42220 = 2² × 5¹ × 2111¹

Step-3: Factors of 42205

List of positive integer factors of 42205 that divides 42205 without a remainder.

1, 5, 23, 115, 367, 1835, 8441

Step-4: Factors of 42220

List of positive integer factors of 42220 that divides 42205 without a remainder.

1, 2, 4, 5, 10, 20, 2111, 4222, 8444, 10555, 21110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42205 and 42220. The biggest common factor number is the GCF number.
So the greatest common factor 42205 and 42220 is 5.

Also check out the Least Common Multiple of 42205 and 42220