What is the Greatest Common Factor of 11936 and 11956?

Greatest common factor (GCF) of 11936 and 11956 is 4.

GCF(11936,11956) = 4

We will now calculate the prime factors of 11936 and 11956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11936 and 11956.

How to find the GCF of 11936 and 11956?

We will first find the prime factorization of 11936 and 11956. After we will calculate the factors of 11936 and 11956 and find the biggest common factor number .

Step-1: Prime Factorization of 11936

Prime factors of 11936 are 2, 373. Prime factorization of 11936 in exponential form is:

11936 = 2⁵ × 373¹

Step-2: Prime Factorization of 11956

Prime factors of 11956 are 2, 7, 61. Prime factorization of 11956 in exponential form is:

11956 = 2² × 7² × 61¹

Step-3: Factors of 11936

List of positive integer factors of 11936 that divides 11936 without a remainder.

1, 2, 4, 8, 16, 32, 373, 746, 1492, 2984, 5968

Step-4: Factors of 11956

List of positive integer factors of 11956 that divides 11936 without a remainder.

1, 2, 4, 7, 14, 28, 49, 61, 98, 122, 196, 244, 427, 854, 1708, 2989, 5978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11936 and 11956. The biggest common factor number is the GCF number.
So the greatest common factor 11936 and 11956 is 4.

Also check out the Least Common Multiple of 11936 and 11956