What is the Greatest Common Factor of 78406 and 78414?

Greatest common factor (GCF) of 78406 and 78414 is 2.

GCF(78406,78414) = 2

We will now calculate the prime factors of 78406 and 78414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78406 and 78414.

How to find the GCF of 78406 and 78414?

We will first find the prime factorization of 78406 and 78414. After we will calculate the factors of 78406 and 78414 and find the biggest common factor number .

Step-1: 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-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 78406

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

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

Step-4: Factors of 78414

List of positive integer factors of 78414 that divides 78406 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 78406 and 78414. The biggest common factor number is the GCF number.
So the greatest common factor 78406 and 78414 is 2.

Also check out the Least Common Multiple of 78406 and 78414