What is the Greatest Common Factor of 78225 and 78239?

Greatest common factor (GCF) of 78225 and 78239 is 7.

GCF(78225,78239) = 7

We will now calculate the prime factors of 78225 and 78239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78225 and 78239.

How to find the GCF of 78225 and 78239?

We will first find the prime factorization of 78225 and 78239. After we will calculate the factors of 78225 and 78239 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 78239

Prime factors of 78239 are 7, 11177. Prime factorization of 78239 in exponential form is:

78239 = 7¹ × 11177¹

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 78239

List of positive integer factors of 78239 that divides 78225 without a remainder.

1, 7, 11177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78225 and 78239. The biggest common factor number is the GCF number.
So the greatest common factor 78225 and 78239 is 7.

Also check out the Least Common Multiple of 78225 and 78239