What is the Greatest Common Factor of 29536 and 29543?

Greatest common factor (GCF) of 29536 and 29543 is 1.

GCF(29536,29543) = 1

We will now calculate the prime factors of 29536 and 29543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29536 and 29543.

How to find the GCF of 29536 and 29543?

We will first find the prime factorization of 29536 and 29543. After we will calculate the factors of 29536 and 29543 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29543

Prime factors of 29543 are 31, 953. Prime factorization of 29543 in exponential form is:

29543 = 31¹ × 953¹

Step-3: Factors of 29536

List of positive integer factors of 29536 that divides 29536 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

Step-4: Factors of 29543

List of positive integer factors of 29543 that divides 29536 without a remainder.

1, 31, 953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29536 and 29543. The biggest common factor number is the GCF number.
So the greatest common factor 29536 and 29543 is 1.

Also check out the Least Common Multiple of 29536 and 29543