What is the Greatest Common Factor of 20235 and 20249?

Greatest common factor (GCF) of 20235 and 20249 is 1.

GCF(20235,20249) = 1

We will now calculate the prime factors of 20235 and 20249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20235 and 20249.

How to find the GCF of 20235 and 20249?

We will first find the prime factorization of 20235 and 20249. After we will calculate the factors of 20235 and 20249 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20249

Prime factors of 20249 are 20249. Prime factorization of 20249 in exponential form is:

20249 = 20249¹

Step-3: Factors of 20235

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

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

Step-4: Factors of 20249

List of positive integer factors of 20249 that divides 20235 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20235 and 20249. The biggest common factor number is the GCF number.
So the greatest common factor 20235 and 20249 is 1.

Also check out the Least Common Multiple of 20235 and 20249