What is the Greatest Common Factor of 77259 and 77271?

Greatest common factor (GCF) of 77259 and 77271 is 3.

GCF(77259,77271) = 3

We will now calculate the prime factors of 77259 and 77271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77259 and 77271.

How to find the GCF of 77259 and 77271?

We will first find the prime factorization of 77259 and 77271. After we will calculate the factors of 77259 and 77271 and find the biggest common factor number .

Step-1: Prime Factorization of 77259

Prime factors of 77259 are 3, 7, 13, 283. Prime factorization of 77259 in exponential form is:

77259 = 3¹ × 7¹ × 13¹ × 283¹

Step-2: Prime Factorization of 77271

Prime factors of 77271 are 3, 43, 599. Prime factorization of 77271 in exponential form is:

77271 = 3¹ × 43¹ × 599¹

Step-3: Factors of 77259

List of positive integer factors of 77259 that divides 77259 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 283, 849, 1981, 3679, 5943, 11037, 25753

Step-4: Factors of 77271

List of positive integer factors of 77271 that divides 77259 without a remainder.

1, 3, 43, 129, 599, 1797, 25757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77259 and 77271. The biggest common factor number is the GCF number.
So the greatest common factor 77259 and 77271 is 3.

Also check out the Least Common Multiple of 77259 and 77271