What is the Greatest Common Factor of 97716 and 97728?

Greatest common factor (GCF) of 97716 and 97728 is 12.

GCF(97716,97728) = 12

We will now calculate the prime factors of 97716 and 97728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97716 and 97728.

How to find the GCF of 97716 and 97728?

We will first find the prime factorization of 97716 and 97728. After we will calculate the factors of 97716 and 97728 and find the biggest common factor number .

Step-1: Prime Factorization of 97716

Prime factors of 97716 are 2, 3, 17, 479. Prime factorization of 97716 in exponential form is:

97716 = 2² × 3¹ × 17¹ × 479¹

Step-2: Prime Factorization of 97728

Prime factors of 97728 are 2, 3, 509. Prime factorization of 97728 in exponential form is:

97728 = 2⁶ × 3¹ × 509¹

Step-3: Factors of 97716

List of positive integer factors of 97716 that divides 97716 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 479, 958, 1437, 1916, 2874, 5748, 8143, 16286, 24429, 32572, 48858

Step-4: Factors of 97728

List of positive integer factors of 97728 that divides 97716 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 509, 1018, 1527, 2036, 3054, 4072, 6108, 8144, 12216, 16288, 24432, 32576, 48864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97716 and 97728. The biggest common factor number is the GCF number.
So the greatest common factor 97716 and 97728 is 12.

Also check out the Least Common Multiple of 97716 and 97728