What is the Greatest Common Factor of 20245 and 20257?

Greatest common factor (GCF) of 20245 and 20257 is 1.

GCF(20245,20257) = 1

We will now calculate the prime factors of 20245 and 20257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20245 and 20257.

How to find the GCF of 20245 and 20257?

We will first find the prime factorization of 20245 and 20257. After we will calculate the factors of 20245 and 20257 and find the biggest common factor number .

Step-1: Prime Factorization of 20245

Prime factors of 20245 are 5, 4049. Prime factorization of 20245 in exponential form is:

20245 = 5¹ × 4049¹

Step-2: Prime Factorization of 20257

Prime factors of 20257 are 47, 431. Prime factorization of 20257 in exponential form is:

20257 = 47¹ × 431¹

Step-3: Factors of 20245

List of positive integer factors of 20245 that divides 20245 without a remainder.

1, 5, 4049

Step-4: Factors of 20257

List of positive integer factors of 20257 that divides 20245 without a remainder.

1, 47, 431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20245 and 20257. The biggest common factor number is the GCF number.
So the greatest common factor 20245 and 20257 is 1.

Also check out the Least Common Multiple of 20245 and 20257