What is the Greatest Common Factor of 11914 and 11928?

Greatest common factor (GCF) of 11914 and 11928 is 14.

GCF(11914,11928) = 14

We will now calculate the prime factors of 11914 and 11928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11914 and 11928.

How to find the GCF of 11914 and 11928?

We will first find the prime factorization of 11914 and 11928. After we will calculate the factors of 11914 and 11928 and find the biggest common factor number .

Step-1: Prime Factorization of 11914

Prime factors of 11914 are 2, 7, 23, 37. Prime factorization of 11914 in exponential form is:

11914 = 2¹ × 7¹ × 23¹ × 37¹

Step-2: 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-3: Factors of 11914

List of positive integer factors of 11914 that divides 11914 without a remainder.

1, 2, 7, 14, 23, 37, 46, 74, 161, 259, 322, 518, 851, 1702, 5957

Step-4: Factors of 11928

List of positive integer factors of 11928 that divides 11914 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11914 and 11928. The biggest common factor number is the GCF number.
So the greatest common factor 11914 and 11928 is 14.

Also check out the Least Common Multiple of 11914 and 11928