What is the Greatest Common Factor of 96552 and 96567?

Greatest common factor (GCF) of 96552 and 96567 is 3.

GCF(96552,96567) = 3

We will now calculate the prime factors of 96552 and 96567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96552 and 96567.

How to find the GCF of 96552 and 96567?

We will first find the prime factorization of 96552 and 96567. After we will calculate the factors of 96552 and 96567 and find the biggest common factor number .

Step-1: Prime Factorization of 96552

Prime factors of 96552 are 2, 3, 149. Prime factorization of 96552 in exponential form is:

96552 = 2³ × 3⁴ × 149¹

Step-2: Prime Factorization of 96567

Prime factors of 96567 are 3, 32189. Prime factorization of 96567 in exponential form is:

96567 = 3¹ × 32189¹

Step-3: Factors of 96552

List of positive integer factors of 96552 that divides 96552 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 149, 162, 216, 298, 324, 447, 596, 648, 894, 1192, 1341, 1788, 2682, 3576, 4023, 5364, 8046, 10728, 12069, 16092, 24138, 32184, 48276

Step-4: Factors of 96567

List of positive integer factors of 96567 that divides 96552 without a remainder.

1, 3, 32189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96552 and 96567. The biggest common factor number is the GCF number.
So the greatest common factor 96552 and 96567 is 3.

Also check out the Least Common Multiple of 96552 and 96567