What is the Greatest Common Factor of 29523 and 29541?

Greatest common factor (GCF) of 29523 and 29541 is 3.

GCF(29523,29541) = 3

We will now calculate the prime factors of 29523 and 29541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29523 and 29541.

How to find the GCF of 29523 and 29541?

We will first find the prime factorization of 29523 and 29541. After we will calculate the factors of 29523 and 29541 and find the biggest common factor number .

Step-1: Prime Factorization of 29523

Prime factors of 29523 are 3, 13, 757. Prime factorization of 29523 in exponential form is:

29523 = 3¹ × 13¹ × 757¹

Step-2: Prime Factorization of 29541

Prime factors of 29541 are 3, 43, 229. Prime factorization of 29541 in exponential form is:

29541 = 3¹ × 43¹ × 229¹

Step-3: Factors of 29523

List of positive integer factors of 29523 that divides 29523 without a remainder.

1, 3, 13, 39, 757, 2271, 9841

Step-4: Factors of 29541

List of positive integer factors of 29541 that divides 29523 without a remainder.

1, 3, 43, 129, 229, 687, 9847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29523 and 29541. The biggest common factor number is the GCF number.
So the greatest common factor 29523 and 29541 is 3.

Also check out the Least Common Multiple of 29523 and 29541