What is the Greatest Common Factor of 5928 and 5938?

Greatest common factor (GCF) of 5928 and 5938 is 2.

GCF(5928,5938) = 2

We will now calculate the prime factors of 5928 and 5938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5928 and 5938.

How to find the GCF of 5928 and 5938?

We will first find the prime factorization of 5928 and 5938. After we will calculate the factors of 5928 and 5938 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5938

Prime factors of 5938 are 2, 2969. Prime factorization of 5938 in exponential form is:

5938 = 2¹ × 2969¹

Step-3: Factors of 5928

List of positive integer factors of 5928 that divides 5928 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

Step-4: Factors of 5938

List of positive integer factors of 5938 that divides 5928 without a remainder.

1, 2, 2969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5928 and 5938. The biggest common factor number is the GCF number.
So the greatest common factor 5928 and 5938 is 2.

Also check out the Least Common Multiple of 5928 and 5938