What is the Greatest Common Factor of 77188 and 77205?

Greatest common factor (GCF) of 77188 and 77205 is 1.

GCF(77188,77205) = 1

We will now calculate the prime factors of 77188 and 77205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77188 and 77205.

How to find the GCF of 77188 and 77205?

We will first find the prime factorization of 77188 and 77205. After we will calculate the factors of 77188 and 77205 and find the biggest common factor number .

Step-1: Prime Factorization of 77188

Prime factors of 77188 are 2, 23, 839. Prime factorization of 77188 in exponential form is:

77188 = 2² × 23¹ × 839¹

Step-2: 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-3: Factors of 77188

List of positive integer factors of 77188 that divides 77188 without a remainder.

1, 2, 4, 23, 46, 92, 839, 1678, 3356, 19297, 38594

Step-4: Factors of 77205

List of positive integer factors of 77205 that divides 77188 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77188 and 77205. The biggest common factor number is the GCF number.
So the greatest common factor 77188 and 77205 is 1.

Also check out the Least Common Multiple of 77188 and 77205