What is the Greatest Common Factor of 97867 and 97878?

Greatest common factor (GCF) of 97867 and 97878 is 11.

GCF(97867,97878) = 11

We will now calculate the prime factors of 97867 and 97878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97867 and 97878.

How to find the GCF of 97867 and 97878?

We will first find the prime factorization of 97867 and 97878. After we will calculate the factors of 97867 and 97878 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97878

Prime factors of 97878 are 2, 3, 11, 1483. Prime factorization of 97878 in exponential form is:

97878 = 2¹ × 3¹ × 11¹ × 1483¹

Step-3: Factors of 97867

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

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

Step-4: Factors of 97878

List of positive integer factors of 97878 that divides 97867 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1483, 2966, 4449, 8898, 16313, 32626, 48939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97867 and 97878. The biggest common factor number is the GCF number.
So the greatest common factor 97867 and 97878 is 11.

Also check out the Least Common Multiple of 97867 and 97878