What is the Greatest Common Factor of 96564 and 96577?

Greatest common factor (GCF) of 96564 and 96577 is 13.

GCF(96564,96577) = 13

We will now calculate the prime factors of 96564 and 96577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96564 and 96577.

How to find the GCF of 96564 and 96577?

We will first find the prime factorization of 96564 and 96577. After we will calculate the factors of 96564 and 96577 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 96577

Prime factors of 96577 are 13, 17, 19, 23. Prime factorization of 96577 in exponential form is:

96577 = 13¹ × 17¹ × 19¹ × 23¹

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 96577

List of positive integer factors of 96577 that divides 96564 without a remainder.

1, 13, 17, 19, 23, 221, 247, 299, 323, 391, 437, 4199, 5083, 5681, 7429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96564 and 96577. The biggest common factor number is the GCF number.
So the greatest common factor 96564 and 96577 is 13.

Also check out the Least Common Multiple of 96564 and 96577