What is the Greatest Common Factor of 11948 and 11960?

Greatest common factor (GCF) of 11948 and 11960 is 4.

GCF(11948,11960) = 4

We will now calculate the prime factors of 11948 and 11960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11948 and 11960.

How to find the GCF of 11948 and 11960?

We will first find the prime factorization of 11948 and 11960. After we will calculate the factors of 11948 and 11960 and find the biggest common factor number .

Step-1: Prime Factorization of 11948

Prime factors of 11948 are 2, 29, 103. Prime factorization of 11948 in exponential form is:

11948 = 2² × 29¹ × 103¹

Step-2: Prime Factorization of 11960

Prime factors of 11960 are 2, 5, 13, 23. Prime factorization of 11960 in exponential form is:

11960 = 2³ × 5¹ × 13¹ × 23¹

Step-3: Factors of 11948

List of positive integer factors of 11948 that divides 11948 without a remainder.

1, 2, 4, 29, 58, 103, 116, 206, 412, 2987, 5974

Step-4: Factors of 11960

List of positive integer factors of 11960 that divides 11948 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 23, 26, 40, 46, 52, 65, 92, 104, 115, 130, 184, 230, 260, 299, 460, 520, 598, 920, 1196, 1495, 2392, 2990, 5980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11948 and 11960. The biggest common factor number is the GCF number.
So the greatest common factor 11948 and 11960 is 4.

Also check out the Least Common Multiple of 11948 and 11960