What is the Greatest Common Factor of 17236 and 17254?

Greatest common factor (GCF) of 17236 and 17254 is 2.

GCF(17236,17254) = 2

We will now calculate the prime factors of 17236 and 17254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17236 and 17254.

How to find the GCF of 17236 and 17254?

We will first find the prime factorization of 17236 and 17254. After we will calculate the factors of 17236 and 17254 and find the biggest common factor number .

Step-1: Prime Factorization of 17236

Prime factors of 17236 are 2, 31, 139. Prime factorization of 17236 in exponential form is:

17236 = 2² × 31¹ × 139¹

Step-2: Prime Factorization of 17254

Prime factors of 17254 are 2, 8627. Prime factorization of 17254 in exponential form is:

17254 = 2¹ × 8627¹

Step-3: Factors of 17236

List of positive integer factors of 17236 that divides 17236 without a remainder.

1, 2, 4, 31, 62, 124, 139, 278, 556, 4309, 8618

Step-4: Factors of 17254

List of positive integer factors of 17254 that divides 17236 without a remainder.

1, 2, 8627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17236 and 17254. The biggest common factor number is the GCF number.
So the greatest common factor 17236 and 17254 is 2.

Also check out the Least Common Multiple of 17236 and 17254