What is the Greatest Common Factor of 29460 and 29469?

Greatest common factor (GCF) of 29460 and 29469 is 3.

GCF(29460,29469) = 3

We will now calculate the prime factors of 29460 and 29469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29460 and 29469.

How to find the GCF of 29460 and 29469?

We will first find the prime factorization of 29460 and 29469. After we will calculate the factors of 29460 and 29469 and find the biggest common factor number .

Step-1: Prime Factorization of 29460

Prime factors of 29460 are 2, 3, 5, 491. Prime factorization of 29460 in exponential form is:

29460 = 2² × 3¹ × 5¹ × 491¹

Step-2: 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-3: Factors of 29460

List of positive integer factors of 29460 that divides 29460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 491, 982, 1473, 1964, 2455, 2946, 4910, 5892, 7365, 9820, 14730

Step-4: Factors of 29469

List of positive integer factors of 29469 that divides 29460 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29460 and 29469. The biggest common factor number is the GCF number.
So the greatest common factor 29460 and 29469 is 3.

Also check out the Least Common Multiple of 29460 and 29469