What is the Greatest Common Factor of 88740 and 88744?

Greatest common factor (GCF) of 88740 and 88744 is 4.

GCF(88740,88744) = 4

We will now calculate the prime factors of 88740 and 88744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88740 and 88744.

How to find the GCF of 88740 and 88744?

We will first find the prime factorization of 88740 and 88744. After we will calculate the factors of 88740 and 88744 and find the biggest common factor number .

Step-1: Prime Factorization of 88740

Prime factors of 88740 are 2, 3, 5, 17, 29. Prime factorization of 88740 in exponential form is:

88740 = 2² × 3² × 5¹ × 17¹ × 29¹

Step-2: Prime Factorization of 88744

Prime factors of 88744 are 2, 11093. Prime factorization of 88744 in exponential form is:

88744 = 2³ × 11093¹

Step-3: Factors of 88740

List of positive integer factors of 88740 that divides 88740 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 29, 30, 34, 36, 45, 51, 58, 60, 68, 85, 87, 90, 102, 116, 145, 153, 170, 174, 180, 204, 255, 261, 290, 306, 340, 348, 435, 493, 510, 522, 580, 612, 765, 870, 986, 1020, 1044, 1305, 1479, 1530, 1740, 1972, 2465, 2610, 2958, 3060, 4437, 4930, 5220, 5916, 7395, 8874, 9860, 14790, 17748, 22185, 29580, 44370

Step-4: Factors of 88744

List of positive integer factors of 88744 that divides 88740 without a remainder.

1, 2, 4, 8, 11093, 22186, 44372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88740 and 88744. The biggest common factor number is the GCF number.
So the greatest common factor 88740 and 88744 is 4.

Also check out the Least Common Multiple of 88740 and 88744