What is the Greatest Common Factor of 77259 and 77277?

Greatest common factor (GCF) of 77259 and 77277 is 3.

GCF(77259,77277) = 3

We will now calculate the prime factors of 77259 and 77277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77259 and 77277.

How to find the GCF of 77259 and 77277?

We will first find the prime factorization of 77259 and 77277. After we will calculate the factors of 77259 and 77277 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 77277

Prime factors of 77277 are 3, 25759. Prime factorization of 77277 in exponential form is:

77277 = 3¹ × 25759¹

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 77277

List of positive integer factors of 77277 that divides 77259 without a remainder.

1, 3, 25759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77259 and 77277. The biggest common factor number is the GCF number.
So the greatest common factor 77259 and 77277 is 3.

Also check out the Least Common Multiple of 77259 and 77277