What is the Greatest Common Factor of 29445 and 29460?

Greatest common factor (GCF) of 29445 and 29460 is 15.

GCF(29445,29460) = 15

We will now calculate the prime factors of 29445 and 29460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29445 and 29460.

How to find the GCF of 29445 and 29460?

We will first find the prime factorization of 29445 and 29460. After we will calculate the factors of 29445 and 29460 and find the biggest common factor number .

Step-1: Prime Factorization of 29445

Prime factors of 29445 are 3, 5, 13, 151. Prime factorization of 29445 in exponential form is:

29445 = 3¹ × 5¹ × 13¹ × 151¹

Step-2: 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-3: Factors of 29445

List of positive integer factors of 29445 that divides 29445 without a remainder.

1, 3, 5, 13, 15, 39, 65, 151, 195, 453, 755, 1963, 2265, 5889, 9815

Step-4: Factors of 29460

List of positive integer factors of 29460 that divides 29445 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29445 and 29460. The biggest common factor number is the GCF number.
So the greatest common factor 29445 and 29460 is 15.

Also check out the Least Common Multiple of 29445 and 29460