What is the Greatest Common Factor of 97916 and 97936?

Greatest common factor (GCF) of 97916 and 97936 is 4.

GCF(97916,97936) = 4

We will now calculate the prime factors of 97916 and 97936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97916 and 97936.

How to find the GCF of 97916 and 97936?

We will first find the prime factorization of 97916 and 97936. After we will calculate the factors of 97916 and 97936 and find the biggest common factor number .

Step-1: Prime Factorization of 97916

Prime factors of 97916 are 2, 7, 13, 269. Prime factorization of 97916 in exponential form is:

97916 = 2² × 7¹ × 13¹ × 269¹

Step-2: Prime Factorization of 97936

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

97936 = 2⁴ × 6121¹

Step-3: Factors of 97916

List of positive integer factors of 97916 that divides 97916 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 269, 364, 538, 1076, 1883, 3497, 3766, 6994, 7532, 13988, 24479, 48958

Step-4: Factors of 97936

List of positive integer factors of 97936 that divides 97916 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97916 and 97936. The biggest common factor number is the GCF number.
So the greatest common factor 97916 and 97936 is 4.

Also check out the Least Common Multiple of 97916 and 97936