What is the Greatest Common Factor of 97827 and 97842?

Greatest common factor (GCF) of 97827 and 97842 is 3.

GCF(97827,97842) = 3

We will now calculate the prime factors of 97827 and 97842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97827 and 97842.

How to find the GCF of 97827 and 97842?

We will first find the prime factorization of 97827 and 97842. After we will calculate the factors of 97827 and 97842 and find the biggest common factor number .

Step-1: Prime Factorization of 97827

Prime factors of 97827 are 3, 32609. Prime factorization of 97827 in exponential form is:

97827 = 3¹ × 32609¹

Step-2: Prime Factorization of 97842

Prime factors of 97842 are 2, 3, 23, 709. Prime factorization of 97842 in exponential form is:

97842 = 2¹ × 3¹ × 23¹ × 709¹

Step-3: Factors of 97827

List of positive integer factors of 97827 that divides 97827 without a remainder.

1, 3, 32609

Step-4: Factors of 97842

List of positive integer factors of 97842 that divides 97827 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 709, 1418, 2127, 4254, 16307, 32614, 48921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97827 and 97842. The biggest common factor number is the GCF number.
So the greatest common factor 97827 and 97842 is 3.

Also check out the Least Common Multiple of 97827 and 97842