What is the Greatest Common Factor of 77256 and 77273?

Greatest common factor (GCF) of 77256 and 77273 is 1.

GCF(77256,77273) = 1

We will now calculate the prime factors of 77256 and 77273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77256 and 77273.

How to find the GCF of 77256 and 77273?

We will first find the prime factorization of 77256 and 77273. After we will calculate the factors of 77256 and 77273 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 77273

Prime factors of 77273 are 7, 19, 83. Prime factorization of 77273 in exponential form is:

77273 = 7² × 19¹ × 83¹

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 77273

List of positive integer factors of 77273 that divides 77256 without a remainder.

1, 7, 19, 49, 83, 133, 581, 931, 1577, 4067, 11039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77256 and 77273. The biggest common factor number is the GCF number.
So the greatest common factor 77256 and 77273 is 1.

Also check out the Least Common Multiple of 77256 and 77273