What is the Greatest Common Factor of 9578 and 9588?

Greatest common factor (GCF) of 9578 and 9588 is 2.

GCF(9578,9588) = 2

We will now calculate the prime factors of 9578 and 9588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9578 and 9588.

How to find the GCF of 9578 and 9588?

We will first find the prime factorization of 9578 and 9588. After we will calculate the factors of 9578 and 9588 and find the biggest common factor number .

Step-1: Prime Factorization of 9578

Prime factors of 9578 are 2, 4789. Prime factorization of 9578 in exponential form is:

9578 = 2¹ × 4789¹

Step-2: Prime Factorization of 9588

Prime factors of 9588 are 2, 3, 17, 47. Prime factorization of 9588 in exponential form is:

9588 = 2² × 3¹ × 17¹ × 47¹

Step-3: Factors of 9578

List of positive integer factors of 9578 that divides 9578 without a remainder.

1, 2, 4789

Step-4: Factors of 9588

List of positive integer factors of 9588 that divides 9578 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9578 and 9588. The biggest common factor number is the GCF number.
So the greatest common factor 9578 and 9588 is 2.

Also check out the Least Common Multiple of 9578 and 9588