What is the Greatest Common Factor of 17101 and 17108?

Greatest common factor (GCF) of 17101 and 17108 is 7.

GCF(17101,17108) = 7

We will now calculate the prime factors of 17101 and 17108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17101 and 17108.

How to find the GCF of 17101 and 17108?

We will first find the prime factorization of 17101 and 17108. After we will calculate the factors of 17101 and 17108 and find the biggest common factor number .

Step-1: Prime Factorization of 17101

Prime factors of 17101 are 7, 349. Prime factorization of 17101 in exponential form is:

17101 = 7² × 349¹

Step-2: Prime Factorization of 17108

Prime factors of 17108 are 2, 7, 13, 47. Prime factorization of 17108 in exponential form is:

17108 = 2² × 7¹ × 13¹ × 47¹

Step-3: Factors of 17101

List of positive integer factors of 17101 that divides 17101 without a remainder.

1, 7, 49, 349, 2443

Step-4: Factors of 17108

List of positive integer factors of 17108 that divides 17101 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 47, 52, 91, 94, 182, 188, 329, 364, 611, 658, 1222, 1316, 2444, 4277, 8554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17101 and 17108. The biggest common factor number is the GCF number.
So the greatest common factor 17101 and 17108 is 7.

Also check out the Least Common Multiple of 17101 and 17108