What is the Greatest Common Factor of 78205 and 78220?

Greatest common factor (GCF) of 78205 and 78220 is 5.

GCF(78205,78220) = 5

We will now calculate the prime factors of 78205 and 78220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78205 and 78220.

How to find the GCF of 78205 and 78220?

We will first find the prime factorization of 78205 and 78220. After we will calculate the factors of 78205 and 78220 and find the biggest common factor number .

Step-1: Prime Factorization of 78205

Prime factors of 78205 are 5, 15641. Prime factorization of 78205 in exponential form is:

78205 = 5¹ × 15641¹

Step-2: Prime Factorization of 78220

Prime factors of 78220 are 2, 5, 3911. Prime factorization of 78220 in exponential form is:

78220 = 2² × 5¹ × 3911¹

Step-3: Factors of 78205

List of positive integer factors of 78205 that divides 78205 without a remainder.

1, 5, 15641

Step-4: Factors of 78220

List of positive integer factors of 78220 that divides 78205 without a remainder.

1, 2, 4, 5, 10, 20, 3911, 7822, 15644, 19555, 39110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78205 and 78220. The biggest common factor number is the GCF number.
So the greatest common factor 78205 and 78220 is 5.

Also check out the Least Common Multiple of 78205 and 78220