What is the Greatest Common Factor of 20917 and 20935?

Greatest common factor (GCF) of 20917 and 20935 is 1.

GCF(20917,20935) = 1

We will now calculate the prime factors of 20917 and 20935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20917 and 20935.

How to find the GCF of 20917 and 20935?

We will first find the prime factorization of 20917 and 20935. After we will calculate the factors of 20917 and 20935 and find the biggest common factor number .

Step-1: Prime Factorization of 20917

Prime factors of 20917 are 13, 1609. Prime factorization of 20917 in exponential form is:

20917 = 13¹ × 1609¹

Step-2: Prime Factorization of 20935

Prime factors of 20935 are 5, 53, 79. Prime factorization of 20935 in exponential form is:

20935 = 5¹ × 53¹ × 79¹

Step-3: Factors of 20917

List of positive integer factors of 20917 that divides 20917 without a remainder.

1, 13, 1609

Step-4: Factors of 20935

List of positive integer factors of 20935 that divides 20917 without a remainder.

1, 5, 53, 79, 265, 395, 4187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20917 and 20935. The biggest common factor number is the GCF number.
So the greatest common factor 20917 and 20935 is 1.

Also check out the Least Common Multiple of 20917 and 20935