What is the Greatest Common Factor of 77256 and 77266?

Greatest common factor (GCF) of 77256 and 77266 is 2.

GCF(77256,77266) = 2

We will now calculate the prime factors of 77256 and 77266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77256 and 77266.

How to find the GCF of 77256 and 77266?

We will first find the prime factorization of 77256 and 77266. After we will calculate the factors of 77256 and 77266 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 77266

Prime factors of 77266 are 2, 7, 5519. Prime factorization of 77266 in exponential form is:

77266 = 2¹ × 7¹ × 5519¹

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 77266

List of positive integer factors of 77266 that divides 77256 without a remainder.

1, 2, 7, 14, 5519, 11038, 38633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77256 and 77266. The biggest common factor number is the GCF number.
So the greatest common factor 77256 and 77266 is 2.

Also check out the Least Common Multiple of 77256 and 77266