What is the Greatest Common Factor of 78005 and 78010?

Greatest common factor (GCF) of 78005 and 78010 is 5.

GCF(78005,78010) = 5

We will now calculate the prime factors of 78005 and 78010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78005 and 78010.

How to find the GCF of 78005 and 78010?

We will first find the prime factorization of 78005 and 78010. After we will calculate the factors of 78005 and 78010 and find the biggest common factor number .

Step-1: Prime Factorization of 78005

Prime factors of 78005 are 5, 15601. Prime factorization of 78005 in exponential form is:

78005 = 5¹ × 15601¹

Step-2: 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-3: Factors of 78005

List of positive integer factors of 78005 that divides 78005 without a remainder.

1, 5, 15601

Step-4: Factors of 78010

List of positive integer factors of 78010 that divides 78005 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78005 and 78010. The biggest common factor number is the GCF number.
So the greatest common factor 78005 and 78010 is 5.

Also check out the Least Common Multiple of 78005 and 78010