What is the Greatest Common Factor of 88740 and 88757?

Greatest common factor (GCF) of 88740 and 88757 is 17.

GCF(88740,88757) = 17

We will now calculate the prime factors of 88740 and 88757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88740 and 88757.

How to find the GCF of 88740 and 88757?

We will first find the prime factorization of 88740 and 88757. After we will calculate the factors of 88740 and 88757 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 88757

Prime factors of 88757 are 17, 23, 227. Prime factorization of 88757 in exponential form is:

88757 = 17¹ × 23¹ × 227¹

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 88757

List of positive integer factors of 88757 that divides 88740 without a remainder.

1, 17, 23, 227, 391, 3859, 5221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88740 and 88757. The biggest common factor number is the GCF number.
So the greatest common factor 88740 and 88757 is 17.

Also check out the Least Common Multiple of 88740 and 88757