What is the Greatest Common Factor of 20417 and 20434?

Greatest common factor (GCF) of 20417 and 20434 is 17.

GCF(20417,20434) = 17

We will now calculate the prime factors of 20417 and 20434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20417 and 20434.

How to find the GCF of 20417 and 20434?

We will first find the prime factorization of 20417 and 20434. After we will calculate the factors of 20417 and 20434 and find the biggest common factor number .

Step-1: Prime Factorization of 20417

Prime factors of 20417 are 17, 1201. Prime factorization of 20417 in exponential form is:

20417 = 17¹ × 1201¹

Step-2: Prime Factorization of 20434

Prime factors of 20434 are 2, 17, 601. Prime factorization of 20434 in exponential form is:

20434 = 2¹ × 17¹ × 601¹

Step-3: Factors of 20417

List of positive integer factors of 20417 that divides 20417 without a remainder.

1, 17, 1201

Step-4: Factors of 20434

List of positive integer factors of 20434 that divides 20417 without a remainder.

1, 2, 17, 34, 601, 1202, 10217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20417 and 20434. The biggest common factor number is the GCF number.
So the greatest common factor 20417 and 20434 is 17.

Also check out the Least Common Multiple of 20417 and 20434