What is the Greatest Common Factor of 88740 and 88750?

Greatest common factor (GCF) of 88740 and 88750 is 10.

GCF(88740,88750) = 10

We will now calculate the prime factors of 88740 and 88750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88740 and 88750.

How to find the GCF of 88740 and 88750?

We will first find the prime factorization of 88740 and 88750. After we will calculate the factors of 88740 and 88750 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 88750

Prime factors of 88750 are 2, 5, 71. Prime factorization of 88750 in exponential form is:

88750 = 2¹ × 5⁴ × 71¹

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 88750

List of positive integer factors of 88750 that divides 88740 without a remainder.

1, 2, 5, 10, 25, 50, 71, 125, 142, 250, 355, 625, 710, 1250, 1775, 3550, 8875, 17750, 44375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88740 and 88750. The biggest common factor number is the GCF number.
So the greatest common factor 88740 and 88750 is 10.

Also check out the Least Common Multiple of 88740 and 88750