What is the Greatest Common Factor of 78403 and 78414?

Greatest common factor (GCF) of 78403 and 78414 is 1.

GCF(78403,78414) = 1

We will now calculate the prime factors of 78403 and 78414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78403 and 78414.

How to find the GCF of 78403 and 78414?

We will first find the prime factorization of 78403 and 78414. After we will calculate the factors of 78403 and 78414 and find the biggest common factor number .

Step-1: Prime Factorization of 78403

Prime factors of 78403 are 13, 37, 163. Prime factorization of 78403 in exponential form is:

78403 = 13¹ × 37¹ × 163¹

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 78403

List of positive integer factors of 78403 that divides 78403 without a remainder.

1, 13, 37, 163, 481, 2119, 6031

Step-4: Factors of 78414

List of positive integer factors of 78414 that divides 78403 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 78403 and 78414. The biggest common factor number is the GCF number.
So the greatest common factor 78403 and 78414 is 1.

Also check out the Least Common Multiple of 78403 and 78414