What is the Greatest Common Factor of 78201 and 78207?

Greatest common factor (GCF) of 78201 and 78207 is 3.

GCF(78201,78207) = 3

We will now calculate the prime factors of 78201 and 78207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78201 and 78207.

How to find the GCF of 78201 and 78207?

We will first find the prime factorization of 78201 and 78207. After we will calculate the factors of 78201 and 78207 and find the biggest common factor number .

Step-1: Prime Factorization of 78201

Prime factors of 78201 are 3, 8689. Prime factorization of 78201 in exponential form is:

78201 = 3² × 8689¹

Step-2: Prime Factorization of 78207

Prime factors of 78207 are 3, 131, 199. Prime factorization of 78207 in exponential form is:

78207 = 3¹ × 131¹ × 199¹

Step-3: Factors of 78201

List of positive integer factors of 78201 that divides 78201 without a remainder.

1, 3, 9, 8689, 26067

Step-4: Factors of 78207

List of positive integer factors of 78207 that divides 78201 without a remainder.

1, 3, 131, 199, 393, 597, 26069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78201 and 78207. The biggest common factor number is the GCF number.
So the greatest common factor 78201 and 78207 is 3.

Also check out the Least Common Multiple of 78201 and 78207