What is the Greatest Common Factor of 17152 and 17156?

Greatest common factor (GCF) of 17152 and 17156 is 4.

GCF(17152,17156) = 4

We will now calculate the prime factors of 17152 and 17156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17152 and 17156.

How to find the GCF of 17152 and 17156?

We will first find the prime factorization of 17152 and 17156. After we will calculate the factors of 17152 and 17156 and find the biggest common factor number .

Step-1: Prime Factorization of 17152

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

17152 = 2⁸ × 67¹

Step-2: Prime Factorization of 17156

Prime factors of 17156 are 2, 4289. Prime factorization of 17156 in exponential form is:

17156 = 2² × 4289¹

Step-3: Factors of 17152

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

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

Step-4: Factors of 17156

List of positive integer factors of 17156 that divides 17152 without a remainder.

1, 2, 4, 4289, 8578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17152 and 17156. The biggest common factor number is the GCF number.
So the greatest common factor 17152 and 17156 is 4.

Also check out the Least Common Multiple of 17152 and 17156