What is the Greatest Common Factor of 11954 and 11974?

Greatest common factor (GCF) of 11954 and 11974 is 2.

GCF(11954,11974) = 2

We will now calculate the prime factors of 11954 and 11974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11954 and 11974.

How to find the GCF of 11954 and 11974?

We will first find the prime factorization of 11954 and 11974. After we will calculate the factors of 11954 and 11974 and find the biggest common factor number .

Step-1: Prime Factorization of 11954

Prime factors of 11954 are 2, 43, 139. Prime factorization of 11954 in exponential form is:

11954 = 2¹ × 43¹ × 139¹

Step-2: Prime Factorization of 11974

Prime factors of 11974 are 2, 5987. Prime factorization of 11974 in exponential form is:

11974 = 2¹ × 5987¹

Step-3: Factors of 11954

List of positive integer factors of 11954 that divides 11954 without a remainder.

1, 2, 43, 86, 139, 278, 5977

Step-4: Factors of 11974

List of positive integer factors of 11974 that divides 11954 without a remainder.

1, 2, 5987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11954 and 11974. The biggest common factor number is the GCF number.
So the greatest common factor 11954 and 11974 is 2.

Also check out the Least Common Multiple of 11954 and 11974