What is the Greatest Common Factor of 78109 and 78128?

Greatest common factor (GCF) of 78109 and 78128 is 19.

GCF(78109,78128) = 19

We will now calculate the prime factors of 78109 and 78128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78109 and 78128.

How to find the GCF of 78109 and 78128?

We will first find the prime factorization of 78109 and 78128. After we will calculate the factors of 78109 and 78128 and find the biggest common factor number .

Step-1: Prime Factorization of 78109

Prime factors of 78109 are 19, 4111. Prime factorization of 78109 in exponential form is:

78109 = 19¹ × 4111¹

Step-2: Prime Factorization of 78128

Prime factors of 78128 are 2, 19, 257. Prime factorization of 78128 in exponential form is:

78128 = 2⁴ × 19¹ × 257¹

Step-3: Factors of 78109

List of positive integer factors of 78109 that divides 78109 without a remainder.

1, 19, 4111

Step-4: Factors of 78128

List of positive integer factors of 78128 that divides 78109 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 257, 304, 514, 1028, 2056, 4112, 4883, 9766, 19532, 39064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78109 and 78128. The biggest common factor number is the GCF number.
So the greatest common factor 78109 and 78128 is 19.

Also check out the Least Common Multiple of 78109 and 78128