What is the Greatest Common Factor of 77256 and 77276?

Greatest common factor (GCF) of 77256 and 77276 is 4.

GCF(77256,77276) = 4

We will now calculate the prime factors of 77256 and 77276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77256 and 77276.

How to find the GCF of 77256 and 77276?

We will first find the prime factorization of 77256 and 77276. After we will calculate the factors of 77256 and 77276 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 77276

Prime factors of 77276 are 2, 19319. Prime factorization of 77276 in exponential form is:

77276 = 2² × 19319¹

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 77276

List of positive integer factors of 77276 that divides 77256 without a remainder.

1, 2, 4, 19319, 38638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77256 and 77276. The biggest common factor number is the GCF number.
So the greatest common factor 77256 and 77276 is 4.

Also check out the Least Common Multiple of 77256 and 77276