What is the Greatest Common Factor of 97936 and 97940?

Greatest common factor (GCF) of 97936 and 97940 is 4.

GCF(97936,97940) = 4

We will now calculate the prime factors of 97936 and 97940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97936 and 97940.

How to find the GCF of 97936 and 97940?

We will first find the prime factorization of 97936 and 97940. After we will calculate the factors of 97936 and 97940 and find the biggest common factor number .

Step-1: Prime Factorization of 97936

Prime factors of 97936 are 2, 6121. Prime factorization of 97936 in exponential form is:

97936 = 2⁴ × 6121¹

Step-2: Prime Factorization of 97940

Prime factors of 97940 are 2, 5, 59, 83. Prime factorization of 97940 in exponential form is:

97940 = 2² × 5¹ × 59¹ × 83¹

Step-3: Factors of 97936

List of positive integer factors of 97936 that divides 97936 without a remainder.

1, 2, 4, 8, 16, 6121, 12242, 24484, 48968

Step-4: Factors of 97940

List of positive integer factors of 97940 that divides 97936 without a remainder.

1, 2, 4, 5, 10, 20, 59, 83, 118, 166, 236, 295, 332, 415, 590, 830, 1180, 1660, 4897, 9794, 19588, 24485, 48970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97936 and 97940. The biggest common factor number is the GCF number.
So the greatest common factor 97936 and 97940 is 4.

Also check out the Least Common Multiple of 97936 and 97940