What is the Greatest Common Factor of 97912 and 97932?

Greatest common factor (GCF) of 97912 and 97932 is 4.

GCF(97912,97932) = 4

We will now calculate the prime factors of 97912 and 97932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97912 and 97932.

How to find the GCF of 97912 and 97932?

We will first find the prime factorization of 97912 and 97932. After we will calculate the factors of 97912 and 97932 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 97932

Prime factors of 97932 are 2, 3, 8161. Prime factorization of 97932 in exponential form is:

97932 = 2² × 3¹ × 8161¹

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 97932

List of positive integer factors of 97932 that divides 97912 without a remainder.

1, 2, 3, 4, 6, 12, 8161, 16322, 24483, 32644, 48966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97912 and 97932. The biggest common factor number is the GCF number.
So the greatest common factor 97912 and 97932 is 4.

Also check out the Least Common Multiple of 97912 and 97932