What is the Greatest Common Factor of 11953 and 11963?

Greatest common factor (GCF) of 11953 and 11963 is 1.

GCF(11953,11963) = 1

We will now calculate the prime factors of 11953 and 11963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11953 and 11963.

How to find the GCF of 11953 and 11963?

We will first find the prime factorization of 11953 and 11963. After we will calculate the factors of 11953 and 11963 and find the biggest common factor number .

Step-1: Prime Factorization of 11953

Prime factors of 11953 are 11953. Prime factorization of 11953 in exponential form is:

11953 = 11953¹

Step-2: Prime Factorization of 11963

Prime factors of 11963 are 7, 1709. Prime factorization of 11963 in exponential form is:

11963 = 7¹ × 1709¹

Step-3: Factors of 11953

List of positive integer factors of 11953 that divides 11953 without a remainder.

Step-4: Factors of 11963

List of positive integer factors of 11963 that divides 11953 without a remainder.

1, 7, 1709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11953 and 11963. The biggest common factor number is the GCF number.
So the greatest common factor 11953 and 11963 is 1.

Also check out the Least Common Multiple of 11953 and 11963