What is the Greatest Common Factor of 77181 and 77193?

Greatest common factor (GCF) of 77181 and 77193 is 3.

GCF(77181,77193) = 3

We will now calculate the prime factors of 77181 and 77193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77181 and 77193.

How to find the GCF of 77181 and 77193?

We will first find the prime factorization of 77181 and 77193. After we will calculate the factors of 77181 and 77193 and find the biggest common factor number .

Step-1: Prime Factorization of 77181

Prime factors of 77181 are 3, 13, 1979. Prime factorization of 77181 in exponential form is:

77181 = 3¹ × 13¹ × 1979¹

Step-2: Prime Factorization of 77193

Prime factors of 77193 are 3, 953. Prime factorization of 77193 in exponential form is:

77193 = 3⁴ × 953¹

Step-3: Factors of 77181

List of positive integer factors of 77181 that divides 77181 without a remainder.

1, 3, 13, 39, 1979, 5937, 25727

Step-4: Factors of 77193

List of positive integer factors of 77193 that divides 77181 without a remainder.

1, 3, 9, 27, 81, 953, 2859, 8577, 25731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77181 and 77193. The biggest common factor number is the GCF number.
So the greatest common factor 77181 and 77193 is 3.

Also check out the Least Common Multiple of 77181 and 77193