What is the Greatest Common Factor of 97724 and 97728?

Greatest common factor (GCF) of 97724 and 97728 is 4.

GCF(97724,97728) = 4

We will now calculate the prime factors of 97724 and 97728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97724 and 97728.

How to find the GCF of 97724 and 97728?

We will first find the prime factorization of 97724 and 97728. After we will calculate the factors of 97724 and 97728 and find the biggest common factor number .

Step-1: Prime Factorization of 97724

Prime factors of 97724 are 2, 11, 2221. Prime factorization of 97724 in exponential form is:

97724 = 2² × 11¹ × 2221¹

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 97724

List of positive integer factors of 97724 that divides 97724 without a remainder.

1, 2, 4, 11, 22, 44, 2221, 4442, 8884, 24431, 48862

Step-4: Factors of 97728

List of positive integer factors of 97728 that divides 97724 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 97724 and 97728. The biggest common factor number is the GCF number.
So the greatest common factor 97724 and 97728 is 4.

Also check out the Least Common Multiple of 97724 and 97728