What is the Greatest Common Factor of 96564 and 96569?

Greatest common factor (GCF) of 96564 and 96569 is 1.

GCF(96564,96569) = 1

We will now calculate the prime factors of 96564 and 96569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96564 and 96569.

How to find the GCF of 96564 and 96569?

We will first find the prime factorization of 96564 and 96569. After we will calculate the factors of 96564 and 96569 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 96569

Prime factors of 96569 are 11, 8779. Prime factorization of 96569 in exponential form is:

96569 = 11¹ × 8779¹

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 96569

List of positive integer factors of 96569 that divides 96564 without a remainder.

1, 11, 8779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96564 and 96569. The biggest common factor number is the GCF number.
So the greatest common factor 96564 and 96569 is 1.

Also check out the Least Common Multiple of 96564 and 96569