What is the Greatest Common Factor of 97112 and 97116?

Greatest common factor (GCF) of 97112 and 97116 is 4.

GCF(97112,97116) = 4

We will now calculate the prime factors of 97112 and 97116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97112 and 97116.

How to find the GCF of 97112 and 97116?

We will first find the prime factorization of 97112 and 97116. After we will calculate the factors of 97112 and 97116 and find the biggest common factor number .

Step-1: Prime Factorization of 97112

Prime factors of 97112 are 2, 61, 199. Prime factorization of 97112 in exponential form is:

97112 = 2³ × 61¹ × 199¹

Step-2: Prime Factorization of 97116

Prime factors of 97116 are 2, 3, 8093. Prime factorization of 97116 in exponential form is:

97116 = 2² × 3¹ × 8093¹

Step-3: Factors of 97112

List of positive integer factors of 97112 that divides 97112 without a remainder.

1, 2, 4, 8, 61, 122, 199, 244, 398, 488, 796, 1592, 12139, 24278, 48556

Step-4: Factors of 97116

List of positive integer factors of 97116 that divides 97112 without a remainder.

1, 2, 3, 4, 6, 12, 8093, 16186, 24279, 32372, 48558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97112 and 97116. The biggest common factor number is the GCF number.
So the greatest common factor 97112 and 97116 is 4.

Also check out the Least Common Multiple of 97112 and 97116