What is the Greatest Common Factor of 11958 and 11969?

Greatest common factor (GCF) of 11958 and 11969 is 1.

GCF(11958,11969) = 1

We will now calculate the prime factors of 11958 and 11969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11958 and 11969.

How to find the GCF of 11958 and 11969?

We will first find the prime factorization of 11958 and 11969. After we will calculate the factors of 11958 and 11969 and find the biggest common factor number .

Step-1: Prime Factorization of 11958

Prime factors of 11958 are 2, 3, 1993. Prime factorization of 11958 in exponential form is:

11958 = 2¹ × 3¹ × 1993¹

Step-2: Prime Factorization of 11969

Prime factors of 11969 are 11969. Prime factorization of 11969 in exponential form is:

11969 = 11969¹

Step-3: Factors of 11958

List of positive integer factors of 11958 that divides 11958 without a remainder.

1, 2, 3, 6, 1993, 3986, 5979

Step-4: Factors of 11969

List of positive integer factors of 11969 that divides 11958 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11958 and 11969. The biggest common factor number is the GCF number.
So the greatest common factor 11958 and 11969 is 1.

Also check out the Least Common Multiple of 11958 and 11969