What is the Greatest Common Factor of 20225 and 20235?

Greatest common factor (GCF) of 20225 and 20235 is 5.

GCF(20225,20235) = 5

We will now calculate the prime factors of 20225 and 20235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20225 and 20235.

How to find the GCF of 20225 and 20235?

We will first find the prime factorization of 20225 and 20235. After we will calculate the factors of 20225 and 20235 and find the biggest common factor number .

Step-1: Prime Factorization of 20225

Prime factors of 20225 are 5, 809. Prime factorization of 20225 in exponential form is:

20225 = 5² × 809¹

Step-2: Prime Factorization of 20235

Prime factors of 20235 are 3, 5, 19, 71. Prime factorization of 20235 in exponential form is:

20235 = 3¹ × 5¹ × 19¹ × 71¹

Step-3: Factors of 20225

List of positive integer factors of 20225 that divides 20225 without a remainder.

1, 5, 25, 809, 4045

Step-4: Factors of 20235

List of positive integer factors of 20235 that divides 20225 without a remainder.

1, 3, 5, 15, 19, 57, 71, 95, 213, 285, 355, 1065, 1349, 4047, 6745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20225 and 20235. The biggest common factor number is the GCF number.
So the greatest common factor 20225 and 20235 is 5.

Also check out the Least Common Multiple of 20225 and 20235