What is the Greatest Common Factor of 97912 and 97918?

Greatest common factor (GCF) of 97912 and 97918 is 2.

GCF(97912,97918) = 2

We will now calculate the prime factors of 97912 and 97918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97912 and 97918.

How to find the GCF of 97912 and 97918?

We will first find the prime factorization of 97912 and 97918. After we will calculate the factors of 97912 and 97918 and find the biggest common factor number .

Step-1: Prime Factorization of 97912

Prime factors of 97912 are 2, 12239. Prime factorization of 97912 in exponential form is:

97912 = 2³ × 12239¹

Step-2: Prime Factorization of 97918

Prime factors of 97918 are 2, 173, 283. Prime factorization of 97918 in exponential form is:

97918 = 2¹ × 173¹ × 283¹

Step-3: Factors of 97912

List of positive integer factors of 97912 that divides 97912 without a remainder.

1, 2, 4, 8, 12239, 24478, 48956

Step-4: Factors of 97918

List of positive integer factors of 97918 that divides 97912 without a remainder.

1, 2, 173, 283, 346, 566, 48959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97912 and 97918. The biggest common factor number is the GCF number.
So the greatest common factor 97912 and 97918 is 2.

Also check out the Least Common Multiple of 97912 and 97918