What is the Greatest Common Factor of 29510 and 29523?

Greatest common factor (GCF) of 29510 and 29523 is 13.

GCF(29510,29523) = 13

We will now calculate the prime factors of 29510 and 29523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29510 and 29523.

How to find the GCF of 29510 and 29523?

We will first find the prime factorization of 29510 and 29523. After we will calculate the factors of 29510 and 29523 and find the biggest common factor number .

Step-1: Prime Factorization of 29510

Prime factors of 29510 are 2, 5, 13, 227. Prime factorization of 29510 in exponential form is:

29510 = 2¹ × 5¹ × 13¹ × 227¹

Step-2: 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-3: Factors of 29510

List of positive integer factors of 29510 that divides 29510 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 227, 454, 1135, 2270, 2951, 5902, 14755

Step-4: Factors of 29523

List of positive integer factors of 29523 that divides 29510 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29510 and 29523. The biggest common factor number is the GCF number.
So the greatest common factor 29510 and 29523 is 13.

Also check out the Least Common Multiple of 29510 and 29523