What is the Greatest Common Factor of 9576 and 9590?

Greatest common factor (GCF) of 9576 and 9590 is 14.

GCF(9576,9590) = 14

We will now calculate the prime factors of 9576 and 9590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9576 and 9590.

How to find the GCF of 9576 and 9590?

We will first find the prime factorization of 9576 and 9590. After we will calculate the factors of 9576 and 9590 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9590

Prime factors of 9590 are 2, 5, 7, 137. Prime factorization of 9590 in exponential form is:

9590 = 2¹ × 5¹ × 7¹ × 137¹

Step-3: Factors of 9576

List of positive integer factors of 9576 that divides 9576 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

Step-4: Factors of 9590

List of positive integer factors of 9590 that divides 9576 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9576 and 9590. The biggest common factor number is the GCF number.
So the greatest common factor 9576 and 9590 is 14.

Also check out the Least Common Multiple of 9576 and 9590