What is the Greatest Common Factor of 96564 and 96578?

Greatest common factor (GCF) of 96564 and 96578 is 2.

GCF(96564,96578) = 2

We will now calculate the prime factors of 96564 and 96578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96564 and 96578.

How to find the GCF of 96564 and 96578?

We will first find the prime factorization of 96564 and 96578. After we will calculate the factors of 96564 and 96578 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96578

Prime factors of 96578 are 2, 43, 1123. Prime factorization of 96578 in exponential form is:

96578 = 2¹ × 43¹ × 1123¹

Step-3: Factors of 96564

List of positive integer factors of 96564 that divides 96564 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

Step-4: Factors of 96578

List of positive integer factors of 96578 that divides 96564 without a remainder.

1, 2, 43, 86, 1123, 2246, 48289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96564 and 96578. The biggest common factor number is the GCF number.
So the greatest common factor 96564 and 96578 is 2.

Also check out the Least Common Multiple of 96564 and 96578