What is the Greatest Common Factor of 78225 and 78241?

Greatest common factor (GCF) of 78225 and 78241 is 1.

GCF(78225,78241) = 1

We will now calculate the prime factors of 78225 and 78241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78225 and 78241.

How to find the GCF of 78225 and 78241?

We will first find the prime factorization of 78225 and 78241. After we will calculate the factors of 78225 and 78241 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 78241

Prime factors of 78241 are 78241. Prime factorization of 78241 in exponential form is:

78241 = 78241¹

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 78241

List of positive integer factors of 78241 that divides 78225 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78225 and 78241. The biggest common factor number is the GCF number.
So the greatest common factor 78225 and 78241 is 1.

Also check out the Least Common Multiple of 78225 and 78241