What is the Greatest Common Factor of 78390 and 78406?

Greatest common factor (GCF) of 78390 and 78406 is 2.

GCF(78390,78406) = 2

We will now calculate the prime factors of 78390 and 78406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78390 and 78406.

How to find the GCF of 78390 and 78406?

We will first find the prime factorization of 78390 and 78406. After we will calculate the factors of 78390 and 78406 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 78406

Prime factors of 78406 are 2, 197, 199. Prime factorization of 78406 in exponential form is:

78406 = 2¹ × 197¹ × 199¹

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 78406

List of positive integer factors of 78406 that divides 78390 without a remainder.

1, 2, 197, 199, 394, 398, 39203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78390 and 78406. The biggest common factor number is the GCF number.
So the greatest common factor 78390 and 78406 is 2.

Also check out the Least Common Multiple of 78390 and 78406