What is the Greatest Common Factor of 96552 and 96564?

Greatest common factor (GCF) of 96552 and 96564 is 12.

GCF(96552,96564) = 12

We will now calculate the prime factors of 96552 and 96564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96552 and 96564.

How to find the GCF of 96552 and 96564?

We will first find the prime factorization of 96552 and 96564. After we will calculate the factors of 96552 and 96564 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 96564

Prime factors of 96564 are 2, 3, 13, 619. Prime factorization of 96564 in exponential form is:

96564 = 2² × 3¹ × 13¹ × 619¹

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 96564

List of positive integer factors of 96564 that divides 96552 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 619, 1238, 1857, 2476, 3714, 7428, 8047, 16094, 24141, 32188, 48282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96552 and 96564. The biggest common factor number is the GCF number.
So the greatest common factor 96552 and 96564 is 12.

Also check out the Least Common Multiple of 96552 and 96564