What is the Greatest Common Factor of 78010 and 78019?

Greatest common factor (GCF) of 78010 and 78019 is 1.

GCF(78010,78019) = 1

We will now calculate the prime factors of 78010 and 78019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78010 and 78019.

How to find the GCF of 78010 and 78019?

We will first find the prime factorization of 78010 and 78019. After we will calculate the factors of 78010 and 78019 and find the biggest common factor number .

Step-1: Prime Factorization of 78010

Prime factors of 78010 are 2, 5, 29, 269. Prime factorization of 78010 in exponential form is:

78010 = 2¹ × 5¹ × 29¹ × 269¹

Step-2: Prime Factorization of 78019

Prime factors of 78019 are 61, 1279. Prime factorization of 78019 in exponential form is:

78019 = 61¹ × 1279¹

Step-3: Factors of 78010

List of positive integer factors of 78010 that divides 78010 without a remainder.

1, 2, 5, 10, 29, 58, 145, 269, 290, 538, 1345, 2690, 7801, 15602, 39005

Step-4: Factors of 78019

List of positive integer factors of 78019 that divides 78010 without a remainder.

1, 61, 1279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78010 and 78019. The biggest common factor number is the GCF number.
So the greatest common factor 78010 and 78019 is 1.

Also check out the Least Common Multiple of 78010 and 78019