What is the Greatest Common Factor of 97898 and 97916?

Greatest common factor (GCF) of 97898 and 97916 is 2.

GCF(97898,97916) = 2

We will now calculate the prime factors of 97898 and 97916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97898 and 97916.

How to find the GCF of 97898 and 97916?

We will first find the prime factorization of 97898 and 97916. After we will calculate the factors of 97898 and 97916 and find the biggest common factor number .

Step-1: Prime Factorization of 97898

Prime factors of 97898 are 2, 31, 1579. Prime factorization of 97898 in exponential form is:

97898 = 2¹ × 31¹ × 1579¹

Step-2: 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-3: Factors of 97898

List of positive integer factors of 97898 that divides 97898 without a remainder.

1, 2, 31, 62, 1579, 3158, 48949

Step-4: Factors of 97916

List of positive integer factors of 97916 that divides 97898 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97898 and 97916. The biggest common factor number is the GCF number.
So the greatest common factor 97898 and 97916 is 2.

Also check out the Least Common Multiple of 97898 and 97916