What is the Greatest Common Factor of 78416 and 78430?

Greatest common factor (GCF) of 78416 and 78430 is 2.

GCF(78416,78430) = 2

We will now calculate the prime factors of 78416 and 78430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78416 and 78430.

How to find the GCF of 78416 and 78430?

We will first find the prime factorization of 78416 and 78430. After we will calculate the factors of 78416 and 78430 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 78430

Prime factors of 78430 are 2, 5, 11, 23, 31. Prime factorization of 78430 in exponential form is:

78430 = 2¹ × 5¹ × 11¹ × 23¹ × 31¹

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 78430

List of positive integer factors of 78430 that divides 78416 without a remainder.

1, 2, 5, 10, 11, 22, 23, 31, 46, 55, 62, 110, 115, 155, 230, 253, 310, 341, 506, 682, 713, 1265, 1426, 1705, 2530, 3410, 3565, 7130, 7843, 15686, 39215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78416 and 78430. The biggest common factor number is the GCF number.
So the greatest common factor 78416 and 78430 is 2.

Also check out the Least Common Multiple of 78416 and 78430