What is the Greatest Common Factor of 78225 and 78230?

Greatest common factor (GCF) of 78225 and 78230 is 5.

GCF(78225,78230) = 5

We will now calculate the prime factors of 78225 and 78230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78225 and 78230.

How to find the GCF of 78225 and 78230?

We will first find the prime factorization of 78225 and 78230. After we will calculate the factors of 78225 and 78230 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78230

Prime factors of 78230 are 2, 5, 7823. Prime factorization of 78230 in exponential form is:

78230 = 2¹ × 5¹ × 7823¹

Step-3: Factors of 78225

List of positive integer factors of 78225 that divides 78225 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

Step-4: Factors of 78230

List of positive integer factors of 78230 that divides 78225 without a remainder.

1, 2, 5, 10, 7823, 15646, 39115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78225 and 78230. The biggest common factor number is the GCF number.
So the greatest common factor 78225 and 78230 is 5.

Also check out the Least Common Multiple of 78225 and 78230