What is the Greatest Common Factor of 88725 and 88740?

Greatest common factor (GCF) of 88725 and 88740 is 15.

GCF(88725,88740) = 15

We will now calculate the prime factors of 88725 and 88740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88725 and 88740.

How to find the GCF of 88725 and 88740?

We will first find the prime factorization of 88725 and 88740. After we will calculate the factors of 88725 and 88740 and find the biggest common factor number .

Step-1: Prime Factorization of 88725

Prime factors of 88725 are 3, 5, 7, 13. Prime factorization of 88725 in exponential form is:

88725 = 3¹ × 5² × 7¹ × 13²

Step-2: 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-3: Factors of 88725

List of positive integer factors of 88725 that divides 88725 without a remainder.

1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 65, 75, 91, 105, 169, 175, 195, 273, 325, 455, 507, 525, 845, 975, 1183, 1365, 2275, 2535, 3549, 4225, 5915, 6825, 12675, 17745, 29575

Step-4: Factors of 88740

List of positive integer factors of 88740 that divides 88725 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88725 and 88740. The biggest common factor number is the GCF number.
So the greatest common factor 88725 and 88740 is 15.

Also check out the Least Common Multiple of 88725 and 88740