What is the Greatest Common Factor of 88740 and 88746?

Greatest common factor (GCF) of 88740 and 88746 is 6.

GCF(88740,88746) = 6

We will now calculate the prime factors of 88740 and 88746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88740 and 88746.

How to find the GCF of 88740 and 88746?

We will first find the prime factorization of 88740 and 88746. After we will calculate the factors of 88740 and 88746 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 88746

Prime factors of 88746 are 2, 3, 7, 2113. Prime factorization of 88746 in exponential form is:

88746 = 2¹ × 3¹ × 7¹ × 2113¹

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 88746

List of positive integer factors of 88746 that divides 88740 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2113, 4226, 6339, 12678, 14791, 29582, 44373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88740 and 88746. The biggest common factor number is the GCF number.
So the greatest common factor 88740 and 88746 is 6.

Also check out the Least Common Multiple of 88740 and 88746