What is the Greatest Common Factor of 77199 and 77205?

Greatest common factor (GCF) of 77199 and 77205 is 3.

GCF(77199,77205) = 3

We will now calculate the prime factors of 77199 and 77205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77199 and 77205.

How to find the GCF of 77199 and 77205?

We will first find the prime factorization of 77199 and 77205. After we will calculate the factors of 77199 and 77205 and find the biggest common factor number .

Step-1: Prime Factorization of 77199

Prime factors of 77199 are 3, 25733. Prime factorization of 77199 in exponential form is:

77199 = 3¹ × 25733¹

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 77199

List of positive integer factors of 77199 that divides 77199 without a remainder.

1, 3, 25733

Step-4: Factors of 77205

List of positive integer factors of 77205 that divides 77199 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77199 and 77205. The biggest common factor number is the GCF number.
So the greatest common factor 77199 and 77205 is 3.

Also check out the Least Common Multiple of 77199 and 77205