What is the Greatest Common Factor of 70884 and 70902?

Greatest common factor (GCF) of 70884 and 70902 is 18.

GCF(70884,70902) = 18

We will now calculate the prime factors of 70884 and 70902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70884 and 70902.

How to find the GCF of 70884 and 70902?

We will first find the prime factorization of 70884 and 70902. After we will calculate the factors of 70884 and 70902 and find the biggest common factor number .

Step-1: Prime Factorization of 70884

Prime factors of 70884 are 2, 3, 11, 179. Prime factorization of 70884 in exponential form is:

70884 = 2² × 3² × 11¹ × 179¹

Step-2: Prime Factorization of 70902

Prime factors of 70902 are 2, 3, 13, 101. Prime factorization of 70902 in exponential form is:

70902 = 2¹ × 3³ × 13¹ × 101¹

Step-3: Factors of 70884

List of positive integer factors of 70884 that divides 70884 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 179, 198, 358, 396, 537, 716, 1074, 1611, 1969, 2148, 3222, 3938, 5907, 6444, 7876, 11814, 17721, 23628, 35442

Step-4: Factors of 70902

List of positive integer factors of 70902 that divides 70884 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 101, 117, 202, 234, 303, 351, 606, 702, 909, 1313, 1818, 2626, 2727, 3939, 5454, 7878, 11817, 23634, 35451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70884 and 70902. The biggest common factor number is the GCF number.
So the greatest common factor 70884 and 70902 is 18.

Also check out the Least Common Multiple of 70884 and 70902