What is the Greatest Common Factor of 57798 and 57804?

Greatest common factor (GCF) of 57798 and 57804 is 6.

GCF(57798,57804) = 6

We will now calculate the prime factors of 57798 and 57804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57798 and 57804.

How to find the GCF of 57798 and 57804?

We will first find the prime factorization of 57798 and 57804. After we will calculate the factors of 57798 and 57804 and find the biggest common factor number .

Step-1: Prime Factorization of 57798

Prime factors of 57798 are 2, 3, 13, 19. Prime factorization of 57798 in exponential form is:

57798 = 2¹ × 3² × 13² × 19¹

Step-2: Prime Factorization of 57804

Prime factors of 57804 are 2, 3, 4817. Prime factorization of 57804 in exponential form is:

57804 = 2² × 3¹ × 4817¹

Step-3: Factors of 57798

List of positive integer factors of 57798 that divides 57798 without a remainder.

1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 169, 171, 234, 247, 338, 342, 494, 507, 741, 1014, 1482, 1521, 2223, 3042, 3211, 4446, 6422, 9633, 19266, 28899

Step-4: Factors of 57804

List of positive integer factors of 57804 that divides 57798 without a remainder.

1, 2, 3, 4, 6, 12, 4817, 9634, 14451, 19268, 28902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57798 and 57804. The biggest common factor number is the GCF number.
So the greatest common factor 57798 and 57804 is 6.

Also check out the Least Common Multiple of 57798 and 57804