What is the Greatest Common Factor of 88740 and 88749?

Greatest common factor (GCF) of 88740 and 88749 is 9.

GCF(88740,88749) = 9

We will now calculate the prime factors of 88740 and 88749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88740 and 88749.

How to find the GCF of 88740 and 88749?

We will first find the prime factorization of 88740 and 88749. After we will calculate the factors of 88740 and 88749 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 88749

Prime factors of 88749 are 3, 19, 173. Prime factorization of 88749 in exponential form is:

88749 = 3³ × 19¹ × 173¹

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 88749

List of positive integer factors of 88749 that divides 88740 without a remainder.

1, 3, 9, 19, 27, 57, 171, 173, 513, 519, 1557, 3287, 4671, 9861, 29583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88740 and 88749. The biggest common factor number is the GCF number.
So the greatest common factor 88740 and 88749 is 9.

Also check out the Least Common Multiple of 88740 and 88749