What is the Greatest Common Factor of 29523 and 29536?

Greatest common factor (GCF) of 29523 and 29536 is 13.

GCF(29523,29536) = 13

We will now calculate the prime factors of 29523 and 29536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29523 and 29536.

How to find the GCF of 29523 and 29536?

We will first find the prime factorization of 29523 and 29536. After we will calculate the factors of 29523 and 29536 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 29536

Prime factors of 29536 are 2, 13, 71. Prime factorization of 29536 in exponential form is:

29536 = 2⁵ × 13¹ × 71¹

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 29536

List of positive integer factors of 29536 that divides 29523 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 71, 104, 142, 208, 284, 416, 568, 923, 1136, 1846, 2272, 3692, 7384, 14768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29523 and 29536. The biggest common factor number is the GCF number.
So the greatest common factor 29523 and 29536 is 13.

Also check out the Least Common Multiple of 29523 and 29536