What is the Greatest Common Factor of 77484 and 77488?

Greatest common factor (GCF) of 77484 and 77488 is 4.

GCF(77484,77488) = 4

We will now calculate the prime factors of 77484 and 77488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77484 and 77488.

How to find the GCF of 77484 and 77488?

We will first find the prime factorization of 77484 and 77488. After we will calculate the factors of 77484 and 77488 and find the biggest common factor number .

Step-1: Prime Factorization of 77484

Prime factors of 77484 are 2, 3, 11, 587. Prime factorization of 77484 in exponential form is:

77484 = 2² × 3¹ × 11¹ × 587¹

Step-2: Prime Factorization of 77488

Prime factors of 77488 are 2, 29, 167. Prime factorization of 77488 in exponential form is:

77488 = 2⁴ × 29¹ × 167¹

Step-3: Factors of 77484

List of positive integer factors of 77484 that divides 77484 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 587, 1174, 1761, 2348, 3522, 6457, 7044, 12914, 19371, 25828, 38742

Step-4: Factors of 77488

List of positive integer factors of 77488 that divides 77484 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 167, 232, 334, 464, 668, 1336, 2672, 4843, 9686, 19372, 38744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77484 and 77488. The biggest common factor number is the GCF number.
So the greatest common factor 77484 and 77488 is 4.

Also check out the Least Common Multiple of 77484 and 77488