What is the Greatest Common Factor of 76185 and 76201?

Greatest common factor (GCF) of 76185 and 76201 is 1.

GCF(76185,76201) = 1

We will now calculate the prime factors of 76185 and 76201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76185 and 76201.

How to find the GCF of 76185 and 76201?

We will first find the prime factorization of 76185 and 76201. After we will calculate the factors of 76185 and 76201 and find the biggest common factor number .

Step-1: Prime Factorization of 76185

Prime factors of 76185 are 3, 5, 1693. Prime factorization of 76185 in exponential form is:

76185 = 3² × 5¹ × 1693¹

Step-2: Prime Factorization of 76201

Prime factors of 76201 are 181, 421. Prime factorization of 76201 in exponential form is:

76201 = 181¹ × 421¹

Step-3: Factors of 76185

List of positive integer factors of 76185 that divides 76185 without a remainder.

1, 3, 5, 9, 15, 45, 1693, 5079, 8465, 15237, 25395

Step-4: Factors of 76201

List of positive integer factors of 76201 that divides 76185 without a remainder.

1, 181, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76185 and 76201. The biggest common factor number is the GCF number.
So the greatest common factor 76185 and 76201 is 1.

Also check out the Least Common Multiple of 76185 and 76201