What is the Greatest Common Factor of 57798 and 57816?

Greatest common factor (GCF) of 57798 and 57816 is 18.

GCF(57798,57816) = 18

We will now calculate the prime factors of 57798 and 57816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57798 and 57816.

How to find the GCF of 57798 and 57816?

We will first find the prime factorization of 57798 and 57816. After we will calculate the factors of 57798 and 57816 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 57816

Prime factors of 57816 are 2, 3, 11, 73. Prime factorization of 57816 in exponential form is:

57816 = 2³ × 3² × 11¹ × 73¹

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 57816

List of positive integer factors of 57816 that divides 57798 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 73, 88, 99, 132, 146, 198, 219, 264, 292, 396, 438, 584, 657, 792, 803, 876, 1314, 1606, 1752, 2409, 2628, 3212, 4818, 5256, 6424, 7227, 9636, 14454, 19272, 28908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57798 and 57816. The biggest common factor number is the GCF number.
So the greatest common factor 57798 and 57816 is 18.

Also check out the Least Common Multiple of 57798 and 57816