What is the Greatest Common Factor of 78216 and 78225?

Greatest common factor (GCF) of 78216 and 78225 is 3.

GCF(78216,78225) = 3

We will now calculate the prime factors of 78216 and 78225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78216 and 78225.

How to find the GCF of 78216 and 78225?

We will first find the prime factorization of 78216 and 78225. After we will calculate the factors of 78216 and 78225 and find the biggest common factor number .

Step-1: Prime Factorization of 78216

Prime factors of 78216 are 2, 3, 3259. Prime factorization of 78216 in exponential form is:

78216 = 2³ × 3¹ × 3259¹

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 78216

List of positive integer factors of 78216 that divides 78216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3259, 6518, 9777, 13036, 19554, 26072, 39108

Step-4: Factors of 78225

List of positive integer factors of 78225 that divides 78216 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 78216 and 78225. The biggest common factor number is the GCF number.
So the greatest common factor 78216 and 78225 is 3.

Also check out the Least Common Multiple of 78216 and 78225