What is the Greatest Common Factor of 16527 and 16534?

Greatest common factor (GCF) of 16527 and 16534 is 7.

GCF(16527,16534) = 7

We will now calculate the prime factors of 16527 and 16534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16527 and 16534.

How to find the GCF of 16527 and 16534?

We will first find the prime factorization of 16527 and 16534. After we will calculate the factors of 16527 and 16534 and find the biggest common factor number .

Step-1: Prime Factorization of 16527

Prime factors of 16527 are 3, 7, 787. Prime factorization of 16527 in exponential form is:

16527 = 3¹ × 7¹ × 787¹

Step-2: Prime Factorization of 16534

Prime factors of 16534 are 2, 7, 1181. Prime factorization of 16534 in exponential form is:

16534 = 2¹ × 7¹ × 1181¹

Step-3: Factors of 16527

List of positive integer factors of 16527 that divides 16527 without a remainder.

1, 3, 7, 21, 787, 2361, 5509

Step-4: Factors of 16534

List of positive integer factors of 16534 that divides 16527 without a remainder.

1, 2, 7, 14, 1181, 2362, 8267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16527 and 16534. The biggest common factor number is the GCF number.
So the greatest common factor 16527 and 16534 is 7.

Also check out the Least Common Multiple of 16527 and 16534