What is the Greatest Common Factor of 78414 and 78428?

Greatest common factor (GCF) of 78414 and 78428 is 14.

GCF(78414,78428) = 14

We will now calculate the prime factors of 78414 and 78428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78414 and 78428.

How to find the GCF of 78414 and 78428?

We will first find the prime factorization of 78414 and 78428. After we will calculate the factors of 78414 and 78428 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78428

Prime factors of 78428 are 2, 7, 2801. Prime factorization of 78428 in exponential form is:

78428 = 2² × 7¹ × 2801¹

Step-3: Factors of 78414

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

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

Step-4: Factors of 78428

List of positive integer factors of 78428 that divides 78414 without a remainder.

1, 2, 4, 7, 14, 28, 2801, 5602, 11204, 19607, 39214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78414 and 78428. The biggest common factor number is the GCF number.
So the greatest common factor 78414 and 78428 is 14.

Also check out the Least Common Multiple of 78414 and 78428