What is the Greatest Common Factor of 97744 and 97756?

Greatest common factor (GCF) of 97744 and 97756 is 4.

GCF(97744,97756) = 4

We will now calculate the prime factors of 97744 and 97756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97744 and 97756.

How to find the GCF of 97744 and 97756?

We will first find the prime factorization of 97744 and 97756. After we will calculate the factors of 97744 and 97756 and find the biggest common factor number .

Step-1: Prime Factorization of 97744

Prime factors of 97744 are 2, 41, 149. Prime factorization of 97744 in exponential form is:

97744 = 2⁴ × 41¹ × 149¹

Step-2: Prime Factorization of 97756

Prime factors of 97756 are 2, 24439. Prime factorization of 97756 in exponential form is:

97756 = 2² × 24439¹

Step-3: Factors of 97744

List of positive integer factors of 97744 that divides 97744 without a remainder.

1, 2, 4, 8, 16, 41, 82, 149, 164, 298, 328, 596, 656, 1192, 2384, 6109, 12218, 24436, 48872

Step-4: Factors of 97756

List of positive integer factors of 97756 that divides 97744 without a remainder.

1, 2, 4, 24439, 48878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97744 and 97756. The biggest common factor number is the GCF number.
So the greatest common factor 97744 and 97756 is 4.

Also check out the Least Common Multiple of 97744 and 97756