What is the Greatest Common Factor of 77256 and 77275?

Greatest common factor (GCF) of 77256 and 77275 is 1.

GCF(77256,77275) = 1

We will now calculate the prime factors of 77256 and 77275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77256 and 77275.

How to find the GCF of 77256 and 77275?

We will first find the prime factorization of 77256 and 77275. After we will calculate the factors of 77256 and 77275 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 77275

Prime factors of 77275 are 5, 11, 281. Prime factorization of 77275 in exponential form is:

77275 = 5² × 11¹ × 281¹

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 77275

List of positive integer factors of 77275 that divides 77256 without a remainder.

1, 5, 11, 25, 55, 275, 281, 1405, 3091, 7025, 15455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77256 and 77275. The biggest common factor number is the GCF number.
So the greatest common factor 77256 and 77275 is 1.

Also check out the Least Common Multiple of 77256 and 77275