What is the Greatest Common Factor of 78220 and 78225?

Greatest common factor (GCF) of 78220 and 78225 is 5.

GCF(78220,78225) = 5

We will now calculate the prime factors of 78220 and 78225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78220 and 78225.

How to find the GCF of 78220 and 78225?

We will first find the prime factorization of 78220 and 78225. After we will calculate the factors of 78220 and 78225 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78225

Prime factors of 78225 are 3, 5, 7, 149. Prime factorization of 78225 in exponential form is:

78225 = 3¹ × 5² × 7¹ × 149¹

Step-3: Factors of 78220

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

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

Step-4: Factors of 78225

List of positive integer factors of 78225 that divides 78220 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 149, 175, 447, 525, 745, 1043, 2235, 3129, 3725, 5215, 11175, 15645, 26075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78220 and 78225. The biggest common factor number is the GCF number.
So the greatest common factor 78220 and 78225 is 5.

Also check out the Least Common Multiple of 78220 and 78225