What is the Greatest Common Factor of 97894 and 97908?

Greatest common factor (GCF) of 97894 and 97908 is 2.

GCF(97894,97908) = 2

We will now calculate the prime factors of 97894 and 97908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97894 and 97908.

How to find the GCF of 97894 and 97908?

We will first find the prime factorization of 97894 and 97908. After we will calculate the factors of 97894 and 97908 and find the biggest common factor number .

Step-1: Prime Factorization of 97894

Prime factors of 97894 are 2, 48947. Prime factorization of 97894 in exponential form is:

97894 = 2¹ × 48947¹

Step-2: Prime Factorization of 97908

Prime factors of 97908 are 2, 3, 41, 199. Prime factorization of 97908 in exponential form is:

97908 = 2² × 3¹ × 41¹ × 199¹

Step-3: Factors of 97894

List of positive integer factors of 97894 that divides 97894 without a remainder.

1, 2, 48947

Step-4: Factors of 97908

List of positive integer factors of 97908 that divides 97894 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 199, 246, 398, 492, 597, 796, 1194, 2388, 8159, 16318, 24477, 32636, 48954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97894 and 97908. The biggest common factor number is the GCF number.
So the greatest common factor 97894 and 97908 is 2.

Also check out the Least Common Multiple of 97894 and 97908