What is the Greatest Common Factor of 97854 and 97874?

Greatest common factor (GCF) of 97854 and 97874 is 2.

GCF(97854,97874) = 2

We will now calculate the prime factors of 97854 and 97874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97854 and 97874.

How to find the GCF of 97854 and 97874?

We will first find the prime factorization of 97854 and 97874. After we will calculate the factors of 97854 and 97874 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 97874

Prime factors of 97874 are 2, 7, 6991. Prime factorization of 97874 in exponential form is:

97874 = 2¹ × 7¹ × 6991¹

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 97874

List of positive integer factors of 97874 that divides 97854 without a remainder.

1, 2, 7, 14, 6991, 13982, 48937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97854 and 97874. The biggest common factor number is the GCF number.
So the greatest common factor 97854 and 97874 is 2.

Also check out the Least Common Multiple of 97854 and 97874