What is the Greatest Common Factor of 78428 and 78442?

Greatest common factor (GCF) of 78428 and 78442 is 14.

GCF(78428,78442) = 14

We will now calculate the prime factors of 78428 and 78442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78428 and 78442.

How to find the GCF of 78428 and 78442?

We will first find the prime factorization of 78428 and 78442. After we will calculate the factors of 78428 and 78442 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78442

Prime factors of 78442 are 2, 7, 13, 431. Prime factorization of 78442 in exponential form is:

78442 = 2¹ × 7¹ × 13¹ × 431¹

Step-3: Factors of 78428

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

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

Step-4: Factors of 78442

List of positive integer factors of 78442 that divides 78428 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 431, 862, 3017, 5603, 6034, 11206, 39221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78428 and 78442. The biggest common factor number is the GCF number.
So the greatest common factor 78428 and 78442 is 14.

Also check out the Least Common Multiple of 78428 and 78442