What is the Greatest Common Factor of 11948 and 11962?

Greatest common factor (GCF) of 11948 and 11962 is 2.

GCF(11948,11962) = 2

We will now calculate the prime factors of 11948 and 11962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11948 and 11962.

How to find the GCF of 11948 and 11962?

We will first find the prime factorization of 11948 and 11962. After we will calculate the factors of 11948 and 11962 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 11962

Prime factors of 11962 are 2, 5981. Prime factorization of 11962 in exponential form is:

11962 = 2¹ × 5981¹

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 11962

List of positive integer factors of 11962 that divides 11948 without a remainder.

1, 2, 5981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11948 and 11962. The biggest common factor number is the GCF number.
So the greatest common factor 11948 and 11962 is 2.

Also check out the Least Common Multiple of 11948 and 11962