What is the Greatest Common Factor of 97854 and 97867?

Greatest common factor (GCF) of 97854 and 97867 is 1.

GCF(97854,97867) = 1

We will now calculate the prime factors of 97854 and 97867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97854 and 97867.

How to find the GCF of 97854 and 97867?

We will first find the prime factorization of 97854 and 97867. After we will calculate the factors of 97854 and 97867 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 97867

Prime factors of 97867 are 7, 11, 31, 41. Prime factorization of 97867 in exponential form is:

97867 = 7¹ × 11¹ × 31¹ × 41¹

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 97867

List of positive integer factors of 97867 that divides 97854 without a remainder.

1, 7, 11, 31, 41, 77, 217, 287, 341, 451, 1271, 2387, 3157, 8897, 13981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97854 and 97867. The biggest common factor number is the GCF number.
So the greatest common factor 97854 and 97867 is 1.

Also check out the Least Common Multiple of 97854 and 97867