What is the Greatest Common Factor of 29088 and 29106?

Greatest common factor (GCF) of 29088 and 29106 is 18.

GCF(29088,29106) = 18

We will now calculate the prime factors of 29088 and 29106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29088 and 29106.

How to find the GCF of 29088 and 29106?

We will first find the prime factorization of 29088 and 29106. After we will calculate the factors of 29088 and 29106 and find the biggest common factor number .

Step-1: Prime Factorization of 29088

Prime factors of 29088 are 2, 3, 101. Prime factorization of 29088 in exponential form is:

29088 = 2⁵ × 3² × 101¹

Step-2: Prime Factorization of 29106

Prime factors of 29106 are 2, 3, 7, 11. Prime factorization of 29106 in exponential form is:

29106 = 2¹ × 3³ × 7² × 11¹

Step-3: Factors of 29088

List of positive integer factors of 29088 that divides 29088 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 101, 144, 202, 288, 303, 404, 606, 808, 909, 1212, 1616, 1818, 2424, 3232, 3636, 4848, 7272, 9696, 14544

Step-4: Factors of 29106

List of positive integer factors of 29106 that divides 29088 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 49, 54, 63, 66, 77, 98, 99, 126, 147, 154, 189, 198, 231, 294, 297, 378, 441, 462, 539, 594, 693, 882, 1078, 1323, 1386, 1617, 2079, 2646, 3234, 4158, 4851, 9702, 14553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29088 and 29106. The biggest common factor number is the GCF number.
So the greatest common factor 29088 and 29106 is 18.

Also check out the Least Common Multiple of 29088 and 29106