What is the Greatest Common Factor of 78440 and 78453?

Greatest common factor (GCF) of 78440 and 78453 is 1.

GCF(78440,78453) = 1

We will now calculate the prime factors of 78440 and 78453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78440 and 78453.

How to find the GCF of 78440 and 78453?

We will first find the prime factorization of 78440 and 78453. After we will calculate the factors of 78440 and 78453 and find the biggest common factor number .

Step-1: Prime Factorization of 78440

Prime factors of 78440 are 2, 5, 37, 53. Prime factorization of 78440 in exponential form is:

78440 = 2³ × 5¹ × 37¹ × 53¹

Step-2: Prime Factorization of 78453

Prime factors of 78453 are 3, 23, 379. Prime factorization of 78453 in exponential form is:

78453 = 3² × 23¹ × 379¹

Step-3: Factors of 78440

List of positive integer factors of 78440 that divides 78440 without a remainder.

1, 2, 4, 5, 8, 10, 20, 37, 40, 53, 74, 106, 148, 185, 212, 265, 296, 370, 424, 530, 740, 1060, 1480, 1961, 2120, 3922, 7844, 9805, 15688, 19610, 39220

Step-4: Factors of 78453

List of positive integer factors of 78453 that divides 78440 without a remainder.

1, 3, 9, 23, 69, 207, 379, 1137, 3411, 8717, 26151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78440 and 78453. The biggest common factor number is the GCF number.
So the greatest common factor 78440 and 78453 is 1.

Also check out the Least Common Multiple of 78440 and 78453