What is the Greatest Common Factor of 5919 and 5928?

Greatest common factor (GCF) of 5919 and 5928 is 3.

GCF(5919,5928) = 3

We will now calculate the prime factors of 5919 and 5928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5919 and 5928.

How to find the GCF of 5919 and 5928?

We will first find the prime factorization of 5919 and 5928. After we will calculate the factors of 5919 and 5928 and find the biggest common factor number .

Step-1: Prime Factorization of 5919

Prime factors of 5919 are 3, 1973. Prime factorization of 5919 in exponential form is:

5919 = 3¹ × 1973¹

Step-2: Prime Factorization of 5928

Prime factors of 5928 are 2, 3, 13, 19. Prime factorization of 5928 in exponential form is:

5928 = 2³ × 3¹ × 13¹ × 19¹

Step-3: Factors of 5919

List of positive integer factors of 5919 that divides 5919 without a remainder.

1, 3, 1973

Step-4: Factors of 5928

List of positive integer factors of 5928 that divides 5919 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 19, 24, 26, 38, 39, 52, 57, 76, 78, 104, 114, 152, 156, 228, 247, 312, 456, 494, 741, 988, 1482, 1976, 2964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5919 and 5928. The biggest common factor number is the GCF number.
So the greatest common factor 5919 and 5928 is 3.

Also check out the Least Common Multiple of 5919 and 5928