What is the Greatest Common Factor of 78405 and 78414?

Greatest common factor (GCF) of 78405 and 78414 is 3.

GCF(78405,78414) = 3

We will now calculate the prime factors of 78405 and 78414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78405 and 78414.

How to find the GCF of 78405 and 78414?

We will first find the prime factorization of 78405 and 78414. After we will calculate the factors of 78405 and 78414 and find the biggest common factor number .

Step-1: Prime Factorization of 78405

Prime factors of 78405 are 3, 5, 5227. Prime factorization of 78405 in exponential form is:

78405 = 3¹ × 5¹ × 5227¹

Step-2: Prime Factorization of 78414

Prime factors of 78414 are 2, 3, 7, 1867. Prime factorization of 78414 in exponential form is:

78414 = 2¹ × 3¹ × 7¹ × 1867¹

Step-3: Factors of 78405

List of positive integer factors of 78405 that divides 78405 without a remainder.

1, 3, 5, 15, 5227, 15681, 26135

Step-4: Factors of 78414

List of positive integer factors of 78414 that divides 78405 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1867, 3734, 5601, 11202, 13069, 26138, 39207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78405 and 78414. The biggest common factor number is the GCF number.
So the greatest common factor 78405 and 78414 is 3.

Also check out the Least Common Multiple of 78405 and 78414