What is the Greatest Common Factor of 16525 and 16544?

Greatest common factor (GCF) of 16525 and 16544 is 1.

GCF(16525,16544) = 1

We will now calculate the prime factors of 16525 and 16544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16525 and 16544.

How to find the GCF of 16525 and 16544?

We will first find the prime factorization of 16525 and 16544. After we will calculate the factors of 16525 and 16544 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 16544

Prime factors of 16544 are 2, 11, 47. Prime factorization of 16544 in exponential form is:

16544 = 2⁵ × 11¹ × 47¹

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 16544

List of positive integer factors of 16544 that divides 16525 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 47, 88, 94, 176, 188, 352, 376, 517, 752, 1034, 1504, 2068, 4136, 8272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16525 and 16544. The biggest common factor number is the GCF number.
So the greatest common factor 16525 and 16544 is 1.

Also check out the Least Common Multiple of 16525 and 16544