What is the Greatest Common Factor of 17139 and 17148?

Greatest common factor (GCF) of 17139 and 17148 is 3.

GCF(17139,17148) = 3

We will now calculate the prime factors of 17139 and 17148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17139 and 17148.

How to find the GCF of 17139 and 17148?

We will first find the prime factorization of 17139 and 17148. After we will calculate the factors of 17139 and 17148 and find the biggest common factor number .

Step-1: Prime Factorization of 17139

Prime factors of 17139 are 3, 29, 197. Prime factorization of 17139 in exponential form is:

17139 = 3¹ × 29¹ × 197¹

Step-2: Prime Factorization of 17148

Prime factors of 17148 are 2, 3, 1429. Prime factorization of 17148 in exponential form is:

17148 = 2² × 3¹ × 1429¹

Step-3: Factors of 17139

List of positive integer factors of 17139 that divides 17139 without a remainder.

1, 3, 29, 87, 197, 591, 5713

Step-4: Factors of 17148

List of positive integer factors of 17148 that divides 17139 without a remainder.

1, 2, 3, 4, 6, 12, 1429, 2858, 4287, 5716, 8574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17139 and 17148. The biggest common factor number is the GCF number.
So the greatest common factor 17139 and 17148 is 3.

Also check out the Least Common Multiple of 17139 and 17148