What is the Greatest Common Factor of 77259 and 77272?

Greatest common factor (GCF) of 77259 and 77272 is 13.

GCF(77259,77272) = 13

We will now calculate the prime factors of 77259 and 77272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77259 and 77272.

How to find the GCF of 77259 and 77272?

We will first find the prime factorization of 77259 and 77272. After we will calculate the factors of 77259 and 77272 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 77272

Prime factors of 77272 are 2, 13, 743. Prime factorization of 77272 in exponential form is:

77272 = 2³ × 13¹ × 743¹

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 77272

List of positive integer factors of 77272 that divides 77259 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 743, 1486, 2972, 5944, 9659, 19318, 38636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77259 and 77272. The biggest common factor number is the GCF number.
So the greatest common factor 77259 and 77272 is 13.

Also check out the Least Common Multiple of 77259 and 77272