What is the Greatest Common Factor of 77256 and 77274?

Greatest common factor (GCF) of 77256 and 77274 is 18.

GCF(77256,77274) = 18

We will now calculate the prime factors of 77256 and 77274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77256 and 77274.

How to find the GCF of 77256 and 77274?

We will first find the prime factorization of 77256 and 77274. After we will calculate the factors of 77256 and 77274 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 77274

Prime factors of 77274 are 2, 3, 53. Prime factorization of 77274 in exponential form is:

77274 = 2¹ × 3⁶ × 53¹

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 77274

List of positive integer factors of 77274 that divides 77256 without a remainder.

1, 2, 3, 6, 9, 18, 27, 53, 54, 81, 106, 159, 162, 243, 318, 477, 486, 729, 954, 1431, 1458, 2862, 4293, 8586, 12879, 25758, 38637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77256 and 77274. The biggest common factor number is the GCF number.
So the greatest common factor 77256 and 77274 is 18.

Also check out the Least Common Multiple of 77256 and 77274