What is the Greatest Common Factor of 29241 and 29247?

Greatest common factor (GCF) of 29241 and 29247 is 3.

GCF(29241,29247) = 3

We will now calculate the prime factors of 29241 and 29247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29241 and 29247.

How to find the GCF of 29241 and 29247?

We will first find the prime factorization of 29241 and 29247. After we will calculate the factors of 29241 and 29247 and find the biggest common factor number .

Step-1: Prime Factorization of 29241

Prime factors of 29241 are 3, 19. Prime factorization of 29241 in exponential form is:

29241 = 3⁴ × 19²

Step-2: Prime Factorization of 29247

Prime factors of 29247 are 3, 9749. Prime factorization of 29247 in exponential form is:

29247 = 3¹ × 9749¹

Step-3: Factors of 29241

List of positive integer factors of 29241 that divides 29241 without a remainder.

1, 3, 9, 19, 27, 57, 81, 171, 361, 513, 1083, 1539, 3249, 9747

Step-4: Factors of 29247

List of positive integer factors of 29247 that divides 29241 without a remainder.

1, 3, 9749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29241 and 29247. The biggest common factor number is the GCF number.
So the greatest common factor 29241 and 29247 is 3.

Also check out the Least Common Multiple of 29241 and 29247