What is the Greatest Common Factor of 9567 and 9576?

Greatest common factor (GCF) of 9567 and 9576 is 9.

GCF(9567,9576) = 9

We will now calculate the prime factors of 9567 and 9576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9567 and 9576.

How to find the GCF of 9567 and 9576?

We will first find the prime factorization of 9567 and 9576. After we will calculate the factors of 9567 and 9576 and find the biggest common factor number .

Step-1: Prime Factorization of 9567

Prime factors of 9567 are 3, 1063. Prime factorization of 9567 in exponential form is:

9567 = 3² × 1063¹

Step-2: Prime Factorization of 9576

Prime factors of 9576 are 2, 3, 7, 19. Prime factorization of 9576 in exponential form is:

9576 = 2³ × 3² × 7¹ × 19¹

Step-3: Factors of 9567

List of positive integer factors of 9567 that divides 9567 without a remainder.

1, 3, 9, 1063, 3189

Step-4: Factors of 9576

List of positive integer factors of 9576 that divides 9567 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 56, 57, 63, 72, 76, 84, 114, 126, 133, 152, 168, 171, 228, 252, 266, 342, 399, 456, 504, 532, 684, 798, 1064, 1197, 1368, 1596, 2394, 3192, 4788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9567 and 9576. The biggest common factor number is the GCF number.
So the greatest common factor 9567 and 9576 is 9.

Also check out the Least Common Multiple of 9567 and 9576