What is the Greatest Common Factor of 24205 and 24220?

Greatest common factor (GCF) of 24205 and 24220 is 5.

GCF(24205,24220) = 5

We will now calculate the prime factors of 24205 and 24220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24205 and 24220.

How to find the GCF of 24205 and 24220?

We will first find the prime factorization of 24205 and 24220. After we will calculate the factors of 24205 and 24220 and find the biggest common factor number .

Step-1: Prime Factorization of 24205

Prime factors of 24205 are 5, 47, 103. Prime factorization of 24205 in exponential form is:

24205 = 5¹ × 47¹ × 103¹

Step-2: Prime Factorization of 24220

Prime factors of 24220 are 2, 5, 7, 173. Prime factorization of 24220 in exponential form is:

24220 = 2² × 5¹ × 7¹ × 173¹

Step-3: Factors of 24205

List of positive integer factors of 24205 that divides 24205 without a remainder.

1, 5, 47, 103, 235, 515, 4841

Step-4: Factors of 24220

List of positive integer factors of 24220 that divides 24205 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 173, 346, 692, 865, 1211, 1730, 2422, 3460, 4844, 6055, 12110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24205 and 24220. The biggest common factor number is the GCF number.
So the greatest common factor 24205 and 24220 is 5.

Also check out the Least Common Multiple of 24205 and 24220