What is the Greatest Common Factor of 29432 and 29445?

Greatest common factor (GCF) of 29432 and 29445 is 13.

GCF(29432,29445) = 13

We will now calculate the prime factors of 29432 and 29445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29432 and 29445.

How to find the GCF of 29432 and 29445?

We will first find the prime factorization of 29432 and 29445. After we will calculate the factors of 29432 and 29445 and find the biggest common factor number .

Step-1: Prime Factorization of 29432

Prime factors of 29432 are 2, 13, 283. Prime factorization of 29432 in exponential form is:

29432 = 2³ × 13¹ × 283¹

Step-2: 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-3: Factors of 29432

List of positive integer factors of 29432 that divides 29432 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 283, 566, 1132, 2264, 3679, 7358, 14716

Step-4: Factors of 29445

List of positive integer factors of 29445 that divides 29432 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29432 and 29445. The biggest common factor number is the GCF number.
So the greatest common factor 29432 and 29445 is 13.

Also check out the Least Common Multiple of 29432 and 29445