What is the Greatest Common Factor of 78430 and 78448?

Greatest common factor (GCF) of 78430 and 78448 is 2.

GCF(78430,78448) = 2

We will now calculate the prime factors of 78430 and 78448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78430 and 78448.

How to find the GCF of 78430 and 78448?

We will first find the prime factorization of 78430 and 78448. After we will calculate the factors of 78430 and 78448 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78448

Prime factors of 78448 are 2, 4903. Prime factorization of 78448 in exponential form is:

78448 = 2⁴ × 4903¹

Step-3: Factors of 78430

List of positive integer factors of 78430 that divides 78430 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

Step-4: Factors of 78448

List of positive integer factors of 78448 that divides 78430 without a remainder.

1, 2, 4, 8, 16, 4903, 9806, 19612, 39224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78430 and 78448. The biggest common factor number is the GCF number.
So the greatest common factor 78430 and 78448 is 2.

Also check out the Least Common Multiple of 78430 and 78448