What is the Greatest Common Factor of 16525 and 16536?

Greatest common factor (GCF) of 16525 and 16536 is 1.

GCF(16525,16536) = 1

We will now calculate the prime factors of 16525 and 16536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16525 and 16536.

How to find the GCF of 16525 and 16536?

We will first find the prime factorization of 16525 and 16536. After we will calculate the factors of 16525 and 16536 and find the biggest common factor number .

Step-1: Prime Factorization of 16525

Prime factors of 16525 are 5, 661. Prime factorization of 16525 in exponential form is:

16525 = 5² × 661¹

Step-2: Prime Factorization of 16536

Prime factors of 16536 are 2, 3, 13, 53. Prime factorization of 16536 in exponential form is:

16536 = 2³ × 3¹ × 13¹ × 53¹

Step-3: Factors of 16525

List of positive integer factors of 16525 that divides 16525 without a remainder.

1, 5, 25, 661, 3305

Step-4: Factors of 16536

List of positive integer factors of 16536 that divides 16525 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 53, 78, 104, 106, 156, 159, 212, 312, 318, 424, 636, 689, 1272, 1378, 2067, 2756, 4134, 5512, 8268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16525 and 16536. The biggest common factor number is the GCF number.
So the greatest common factor 16525 and 16536 is 1.

Also check out the Least Common Multiple of 16525 and 16536