What is the Greatest Common Factor of 77205 and 77221?

Greatest common factor (GCF) of 77205 and 77221 is 1.

GCF(77205,77221) = 1

We will now calculate the prime factors of 77205 and 77221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77205 and 77221.

How to find the GCF of 77205 and 77221?

We will first find the prime factorization of 77205 and 77221. After we will calculate the factors of 77205 and 77221 and find the biggest common factor number .

Step-1: Prime Factorization of 77205

Prime factors of 77205 are 3, 5, 5147. Prime factorization of 77205 in exponential form is:

77205 = 3¹ × 5¹ × 5147¹

Step-2: Prime Factorization of 77221

Prime factors of 77221 are 31, 47, 53. Prime factorization of 77221 in exponential form is:

77221 = 31¹ × 47¹ × 53¹

Step-3: Factors of 77205

List of positive integer factors of 77205 that divides 77205 without a remainder.

1, 3, 5, 15, 5147, 15441, 25735

Step-4: Factors of 77221

List of positive integer factors of 77221 that divides 77205 without a remainder.

1, 31, 47, 53, 1457, 1643, 2491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77205 and 77221. The biggest common factor number is the GCF number.
So the greatest common factor 77205 and 77221 is 1.

Also check out the Least Common Multiple of 77205 and 77221