What is the Greatest Common Factor of 97851 and 97857?

Greatest common factor (GCF) of 97851 and 97857 is 3.

GCF(97851,97857) = 3

We will now calculate the prime factors of 97851 and 97857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97851 and 97857.

How to find the GCF of 97851 and 97857?

We will first find the prime factorization of 97851 and 97857. After we will calculate the factors of 97851 and 97857 and find the biggest common factor number .

Step-1: Prime Factorization of 97851

Prime factors of 97851 are 3, 13, 193. Prime factorization of 97851 in exponential form is:

97851 = 3¹ × 13² × 193¹

Step-2: Prime Factorization of 97857

Prime factors of 97857 are 3, 83, 131. Prime factorization of 97857 in exponential form is:

97857 = 3² × 83¹ × 131¹

Step-3: Factors of 97851

List of positive integer factors of 97851 that divides 97851 without a remainder.

1, 3, 13, 39, 169, 193, 507, 579, 2509, 7527, 32617

Step-4: Factors of 97857

List of positive integer factors of 97857 that divides 97851 without a remainder.

1, 3, 9, 83, 131, 249, 393, 747, 1179, 10873, 32619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97851 and 97857. The biggest common factor number is the GCF number.
So the greatest common factor 97851 and 97857 is 3.

Also check out the Least Common Multiple of 97851 and 97857