What is the Greatest Common Factor of 29475 and 29482?

Greatest common factor (GCF) of 29475 and 29482 is 1.

GCF(29475,29482) = 1

We will now calculate the prime factors of 29475 and 29482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29475 and 29482.

How to find the GCF of 29475 and 29482?

We will first find the prime factorization of 29475 and 29482. After we will calculate the factors of 29475 and 29482 and find the biggest common factor number .

Step-1: Prime Factorization of 29475

Prime factors of 29475 are 3, 5, 131. Prime factorization of 29475 in exponential form is:

29475 = 3² × 5² × 131¹

Step-2: Prime Factorization of 29482

Prime factors of 29482 are 2, 14741. Prime factorization of 29482 in exponential form is:

29482 = 2¹ × 14741¹

Step-3: Factors of 29475

List of positive integer factors of 29475 that divides 29475 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 131, 225, 393, 655, 1179, 1965, 3275, 5895, 9825

Step-4: Factors of 29482

List of positive integer factors of 29482 that divides 29475 without a remainder.

1, 2, 14741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29475 and 29482. The biggest common factor number is the GCF number.
So the greatest common factor 29475 and 29482 is 1.

Also check out the Least Common Multiple of 29475 and 29482