What is the Greatest Common Factor of 29070 and 29088?

Greatest common factor (GCF) of 29070 and 29088 is 18.

GCF(29070,29088) = 18

We will now calculate the prime factors of 29070 and 29088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29070 and 29088.

How to find the GCF of 29070 and 29088?

We will first find the prime factorization of 29070 and 29088. After we will calculate the factors of 29070 and 29088 and find the biggest common factor number .

Step-1: Prime Factorization of 29070

Prime factors of 29070 are 2, 3, 5, 17, 19. Prime factorization of 29070 in exponential form is:

29070 = 2¹ × 3² × 5¹ × 17¹ × 19¹

Step-2: 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-3: Factors of 29070

List of positive integer factors of 29070 that divides 29070 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 19, 30, 34, 38, 45, 51, 57, 85, 90, 95, 102, 114, 153, 170, 171, 190, 255, 285, 306, 323, 342, 510, 570, 646, 765, 855, 969, 1530, 1615, 1710, 1938, 2907, 3230, 4845, 5814, 9690, 14535

Step-4: Factors of 29088

List of positive integer factors of 29088 that divides 29070 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29070 and 29088. The biggest common factor number is the GCF number.
So the greatest common factor 29070 and 29088 is 18.

Also check out the Least Common Multiple of 29070 and 29088