What is the Greatest Common Factor of 77256 and 77267?

Greatest common factor (GCF) of 77256 and 77267 is 1.

GCF(77256,77267) = 1

We will now calculate the prime factors of 77256 and 77267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77256 and 77267.

How to find the GCF of 77256 and 77267?

We will first find the prime factorization of 77256 and 77267. After we will calculate the factors of 77256 and 77267 and find the biggest common factor number .

Step-1: Prime Factorization of 77256

Prime factors of 77256 are 2, 3, 29, 37. Prime factorization of 77256 in exponential form is:

77256 = 2³ × 3² × 29¹ × 37¹

Step-2: Prime Factorization of 77267

Prime factors of 77267 are 77267. Prime factorization of 77267 in exponential form is:

77267 = 77267¹

Step-3: Factors of 77256

List of positive integer factors of 77256 that divides 77256 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 37, 58, 72, 74, 87, 111, 116, 148, 174, 222, 232, 261, 296, 333, 348, 444, 522, 666, 696, 888, 1044, 1073, 1332, 2088, 2146, 2664, 3219, 4292, 6438, 8584, 9657, 12876, 19314, 25752, 38628

Step-4: Factors of 77267

List of positive integer factors of 77267 that divides 77256 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77256 and 77267. The biggest common factor number is the GCF number.
So the greatest common factor 77256 and 77267 is 1.

Also check out the Least Common Multiple of 77256 and 77267