What is the Greatest Common Factor of 11898 and 11907?

Greatest common factor (GCF) of 11898 and 11907 is 9.

GCF(11898,11907) = 9

We will now calculate the prime factors of 11898 and 11907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11898 and 11907.

How to find the GCF of 11898 and 11907?

We will first find the prime factorization of 11898 and 11907. After we will calculate the factors of 11898 and 11907 and find the biggest common factor number .

Step-1: Prime Factorization of 11898

Prime factors of 11898 are 2, 3, 661. Prime factorization of 11898 in exponential form is:

11898 = 2¹ × 3² × 661¹

Step-2: Prime Factorization of 11907

Prime factors of 11907 are 3, 7. Prime factorization of 11907 in exponential form is:

11907 = 3⁵ × 7²

Step-3: Factors of 11898

List of positive integer factors of 11898 that divides 11898 without a remainder.

1, 2, 3, 6, 9, 18, 661, 1322, 1983, 3966, 5949

Step-4: Factors of 11907

List of positive integer factors of 11907 that divides 11898 without a remainder.

1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 243, 441, 567, 1323, 1701, 3969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11898 and 11907. The biggest common factor number is the GCF number.
So the greatest common factor 11898 and 11907 is 9.

Also check out the Least Common Multiple of 11898 and 11907