What is the Greatest Common Factor of 29469 and 29488?

Greatest common factor (GCF) of 29469 and 29488 is 19.

GCF(29469,29488) = 19

We will now calculate the prime factors of 29469 and 29488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29469 and 29488.

How to find the GCF of 29469 and 29488?

We will first find the prime factorization of 29469 and 29488. After we will calculate the factors of 29469 and 29488 and find the biggest common factor number .

Step-1: Prime Factorization of 29469

Prime factors of 29469 are 3, 11, 19, 47. Prime factorization of 29469 in exponential form is:

29469 = 3¹ × 11¹ × 19¹ × 47¹

Step-2: Prime Factorization of 29488

Prime factors of 29488 are 2, 19, 97. Prime factorization of 29488 in exponential form is:

29488 = 2⁴ × 19¹ × 97¹

Step-3: Factors of 29469

List of positive integer factors of 29469 that divides 29469 without a remainder.

1, 3, 11, 19, 33, 47, 57, 141, 209, 517, 627, 893, 1551, 2679, 9823

Step-4: Factors of 29488

List of positive integer factors of 29488 that divides 29469 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 97, 152, 194, 304, 388, 776, 1552, 1843, 3686, 7372, 14744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29469 and 29488. The biggest common factor number is the GCF number.
So the greatest common factor 29469 and 29488 is 19.

Also check out the Least Common Multiple of 29469 and 29488