What is the Greatest Common Factor of 17142 and 17152?

Greatest common factor (GCF) of 17142 and 17152 is 2.

GCF(17142,17152) = 2

We will now calculate the prime factors of 17142 and 17152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17142 and 17152.

How to find the GCF of 17142 and 17152?

We will first find the prime factorization of 17142 and 17152. After we will calculate the factors of 17142 and 17152 and find the biggest common factor number .

Step-1: Prime Factorization of 17142

Prime factors of 17142 are 2, 3, 2857. Prime factorization of 17142 in exponential form is:

17142 = 2¹ × 3¹ × 2857¹

Step-2: Prime Factorization of 17152

Prime factors of 17152 are 2, 67. Prime factorization of 17152 in exponential form is:

17152 = 2⁸ × 67¹

Step-3: Factors of 17142

List of positive integer factors of 17142 that divides 17142 without a remainder.

1, 2, 3, 6, 2857, 5714, 8571

Step-4: Factors of 17152

List of positive integer factors of 17152 that divides 17142 without a remainder.

1, 2, 4, 8, 16, 32, 64, 67, 128, 134, 256, 268, 536, 1072, 2144, 4288, 8576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17142 and 17152. The biggest common factor number is the GCF number.
So the greatest common factor 17142 and 17152 is 2.

Also check out the Least Common Multiple of 17142 and 17152