What is the Greatest Common Factor of 11919 and 11928?

Greatest common factor (GCF) of 11919 and 11928 is 3.

GCF(11919,11928) = 3

We will now calculate the prime factors of 11919 and 11928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11919 and 11928.

How to find the GCF of 11919 and 11928?

We will first find the prime factorization of 11919 and 11928. After we will calculate the factors of 11919 and 11928 and find the biggest common factor number .

Step-1: Prime Factorization of 11919

Prime factors of 11919 are 3, 29, 137. Prime factorization of 11919 in exponential form is:

11919 = 3¹ × 29¹ × 137¹

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 11919

List of positive integer factors of 11919 that divides 11919 without a remainder.

1, 3, 29, 87, 137, 411, 3973

Step-4: Factors of 11928

List of positive integer factors of 11928 that divides 11919 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 11919 and 11928. The biggest common factor number is the GCF number.
So the greatest common factor 11919 and 11928 is 3.

Also check out the Least Common Multiple of 11919 and 11928