What is the Greatest Common Factor of 11928 and 11936?

Greatest common factor (GCF) of 11928 and 11936 is 8.

GCF(11928,11936) = 8

We will now calculate the prime factors of 11928 and 11936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11928 and 11936.

How to find the GCF of 11928 and 11936?

We will first find the prime factorization of 11928 and 11936. After we will calculate the factors of 11928 and 11936 and find the biggest common factor number .

Step-1: Prime Factorization of 11928

Prime factors of 11928 are 2, 3, 7, 71. Prime factorization of 11928 in exponential form is:

11928 = 2³ × 3¹ × 7¹ × 71¹

Step-2: Prime Factorization of 11936

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

11936 = 2⁵ × 373¹

Step-3: Factors of 11928

List of positive integer factors of 11928 that divides 11928 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 71, 84, 142, 168, 213, 284, 426, 497, 568, 852, 994, 1491, 1704, 1988, 2982, 3976, 5964

Step-4: Factors of 11936

List of positive integer factors of 11936 that divides 11928 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11928 and 11936. The biggest common factor number is the GCF number.
So the greatest common factor 11928 and 11936 is 8.

Also check out the Least Common Multiple of 11928 and 11936