What is the Greatest Common Factor of 8544 and 8562?

Greatest common factor (GCF) of 8544 and 8562 is 6.

GCF(8544,8562) = 6

We will now calculate the prime factors of 8544 and 8562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8544 and 8562.

How to find the GCF of 8544 and 8562?

We will first find the prime factorization of 8544 and 8562. After we will calculate the factors of 8544 and 8562 and find the biggest common factor number .

Step-1: Prime Factorization of 8544

Prime factors of 8544 are 2, 3, 89. Prime factorization of 8544 in exponential form is:

8544 = 2⁵ × 3¹ × 89¹

Step-2: Prime Factorization of 8562

Prime factors of 8562 are 2, 3, 1427. Prime factorization of 8562 in exponential form is:

8562 = 2¹ × 3¹ × 1427¹

Step-3: Factors of 8544

List of positive integer factors of 8544 that divides 8544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 89, 96, 178, 267, 356, 534, 712, 1068, 1424, 2136, 2848, 4272

Step-4: Factors of 8562

List of positive integer factors of 8562 that divides 8544 without a remainder.

1, 2, 3, 6, 1427, 2854, 4281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8544 and 8562. The biggest common factor number is the GCF number.
So the greatest common factor 8544 and 8562 is 6.

Also check out the Least Common Multiple of 8544 and 8562