What is the Greatest Common Factor of 17528 and 17536?

Greatest common factor (GCF) of 17528 and 17536 is 8.

GCF(17528,17536) = 8

We will now calculate the prime factors of 17528 and 17536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17528 and 17536.

How to find the GCF of 17528 and 17536?

We will first find the prime factorization of 17528 and 17536. After we will calculate the factors of 17528 and 17536 and find the biggest common factor number .

Step-1: Prime Factorization of 17528

Prime factors of 17528 are 2, 7, 313. Prime factorization of 17528 in exponential form is:

17528 = 2³ × 7¹ × 313¹

Step-2: Prime Factorization of 17536

Prime factors of 17536 are 2, 137. Prime factorization of 17536 in exponential form is:

17536 = 2⁷ × 137¹

Step-3: Factors of 17528

List of positive integer factors of 17528 that divides 17528 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 313, 626, 1252, 2191, 2504, 4382, 8764

Step-4: Factors of 17536

List of positive integer factors of 17536 that divides 17528 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 137, 274, 548, 1096, 2192, 4384, 8768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17528 and 17536. The biggest common factor number is the GCF number.
So the greatest common factor 17528 and 17536 is 8.

Also check out the Least Common Multiple of 17528 and 17536