What is the Greatest Common Factor of 97716 and 97724?

Greatest common factor (GCF) of 97716 and 97724 is 4.

GCF(97716,97724) = 4

We will now calculate the prime factors of 97716 and 97724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97716 and 97724.

How to find the GCF of 97716 and 97724?

We will first find the prime factorization of 97716 and 97724. After we will calculate the factors of 97716 and 97724 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 97724

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

97724 = 2² × 11¹ × 2221¹

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 97724

List of positive integer factors of 97724 that divides 97716 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97716 and 97724. The biggest common factor number is the GCF number.
So the greatest common factor 97716 and 97724 is 4.

Also check out the Least Common Multiple of 97716 and 97724