What is the Greatest Common Factor of 78390 and 78408?

Greatest common factor (GCF) of 78390 and 78408 is 18.

GCF(78390,78408) = 18

We will now calculate the prime factors of 78390 and 78408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78390 and 78408.

How to find the GCF of 78390 and 78408?

We will first find the prime factorization of 78390 and 78408. After we will calculate the factors of 78390 and 78408 and find the biggest common factor number .

Step-1: Prime Factorization of 78390

Prime factors of 78390 are 2, 3, 5, 13, 67. Prime factorization of 78390 in exponential form is:

78390 = 2¹ × 3² × 5¹ × 13¹ × 67¹

Step-2: Prime Factorization of 78408

Prime factors of 78408 are 2, 3, 11. Prime factorization of 78408 in exponential form is:

78408 = 2³ × 3⁴ × 11²

Step-3: Factors of 78390

List of positive integer factors of 78390 that divides 78390 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 67, 78, 90, 117, 130, 134, 195, 201, 234, 335, 390, 402, 585, 603, 670, 871, 1005, 1170, 1206, 1742, 2010, 2613, 3015, 4355, 5226, 6030, 7839, 8710, 13065, 15678, 26130, 39195

Step-4: Factors of 78408

List of positive integer factors of 78408 that divides 78390 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 81, 88, 99, 108, 121, 132, 162, 198, 216, 242, 264, 297, 324, 363, 396, 484, 594, 648, 726, 792, 891, 968, 1089, 1188, 1452, 1782, 2178, 2376, 2904, 3267, 3564, 4356, 6534, 7128, 8712, 9801, 13068, 19602, 26136, 39204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78390 and 78408. The biggest common factor number is the GCF number.
So the greatest common factor 78390 and 78408 is 18.

Also check out the Least Common Multiple of 78390 and 78408