What is the Greatest Common Factor of 78416 and 78428?

Greatest common factor (GCF) of 78416 and 78428 is 4.

GCF(78416,78428) = 4

We will now calculate the prime factors of 78416 and 78428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78416 and 78428.

How to find the GCF of 78416 and 78428?

We will first find the prime factorization of 78416 and 78428. After we will calculate the factors of 78416 and 78428 and find the biggest common factor number .

Step-1: Prime Factorization of 78416

Prime factors of 78416 are 2, 13, 29. Prime factorization of 78416 in exponential form is:

78416 = 2⁴ × 13² × 29¹

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 78416

List of positive integer factors of 78416 that divides 78416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 169, 208, 232, 338, 377, 464, 676, 754, 1352, 1508, 2704, 3016, 4901, 6032, 9802, 19604, 39208

Step-4: Factors of 78428

List of positive integer factors of 78428 that divides 78416 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 78416 and 78428. The biggest common factor number is the GCF number.
So the greatest common factor 78416 and 78428 is 4.

Also check out the Least Common Multiple of 78416 and 78428