What is the Greatest Common Factor of 78225 and 78235?

Greatest common factor (GCF) of 78225 and 78235 is 5.

GCF(78225,78235) = 5

We will now calculate the prime factors of 78225 and 78235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78225 and 78235.

How to find the GCF of 78225 and 78235?

We will first find the prime factorization of 78225 and 78235. After we will calculate the factors of 78225 and 78235 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 78235

Prime factors of 78235 are 5, 15647. Prime factorization of 78235 in exponential form is:

78235 = 5¹ × 15647¹

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 78235

List of positive integer factors of 78235 that divides 78225 without a remainder.

1, 5, 15647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78225 and 78235. The biggest common factor number is the GCF number.
So the greatest common factor 78225 and 78235 is 5.

Also check out the Least Common Multiple of 78225 and 78235