What is the Greatest Common Factor of 97854 and 97869?

Greatest common factor (GCF) of 97854 and 97869 is 3.

GCF(97854,97869) = 3

We will now calculate the prime factors of 97854 and 97869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97854 and 97869.

How to find the GCF of 97854 and 97869?

We will first find the prime factorization of 97854 and 97869. After we will calculate the factors of 97854 and 97869 and find the biggest common factor number .

Step-1: Prime Factorization of 97854

Prime factors of 97854 are 2, 3, 47, 347. Prime factorization of 97854 in exponential form is:

97854 = 2¹ × 3¹ × 47¹ × 347¹

Step-2: Prime Factorization of 97869

Prime factors of 97869 are 3, 17, 19, 101. Prime factorization of 97869 in exponential form is:

97869 = 3¹ × 17¹ × 19¹ × 101¹

Step-3: Factors of 97854

List of positive integer factors of 97854 that divides 97854 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282, 347, 694, 1041, 2082, 16309, 32618, 48927

Step-4: Factors of 97869

List of positive integer factors of 97869 that divides 97854 without a remainder.

1, 3, 17, 19, 51, 57, 101, 303, 323, 969, 1717, 1919, 5151, 5757, 32623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97854 and 97869. The biggest common factor number is the GCF number.
So the greatest common factor 97854 and 97869 is 3.

Also check out the Least Common Multiple of 97854 and 97869