What is the Greatest Common Factor of 76205 and 76216?

Greatest common factor (GCF) of 76205 and 76216 is 1.

GCF(76205,76216) = 1

We will now calculate the prime factors of 76205 and 76216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76205 and 76216.

How to find the GCF of 76205 and 76216?

We will first find the prime factorization of 76205 and 76216. After we will calculate the factors of 76205 and 76216 and find the biggest common factor number .

Step-1: Prime Factorization of 76205

Prime factors of 76205 are 5, 15241. Prime factorization of 76205 in exponential form is:

76205 = 5¹ × 15241¹

Step-2: Prime Factorization of 76216

Prime factors of 76216 are 2, 7, 1361. Prime factorization of 76216 in exponential form is:

76216 = 2³ × 7¹ × 1361¹

Step-3: Factors of 76205

List of positive integer factors of 76205 that divides 76205 without a remainder.

1, 5, 15241

Step-4: Factors of 76216

List of positive integer factors of 76216 that divides 76205 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1361, 2722, 5444, 9527, 10888, 19054, 38108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76205 and 76216. The biggest common factor number is the GCF number.
So the greatest common factor 76205 and 76216 is 1.

Also check out the Least Common Multiple of 76205 and 76216