What is the Greatest Common Factor of 17526 and 17536?

Greatest common factor (GCF) of 17526 and 17536 is 2.

GCF(17526,17536) = 2

We will now calculate the prime factors of 17526 and 17536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17526 and 17536.

How to find the GCF of 17526 and 17536?

We will first find the prime factorization of 17526 and 17536. After we will calculate the factors of 17526 and 17536 and find the biggest common factor number .

Step-1: Prime Factorization of 17526

Prime factors of 17526 are 2, 3, 23, 127. Prime factorization of 17526 in exponential form is:

17526 = 2¹ × 3¹ × 23¹ × 127¹

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 17526

List of positive integer factors of 17526 that divides 17526 without a remainder.

1, 2, 3, 6, 23, 46, 69, 127, 138, 254, 381, 762, 2921, 5842, 8763

Step-4: Factors of 17536

List of positive integer factors of 17536 that divides 17526 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 17526 and 17536. The biggest common factor number is the GCF number.
So the greatest common factor 17526 and 17536 is 2.

Also check out the Least Common Multiple of 17526 and 17536