What is the Greatest Common Factor of 29536 and 29552?

Greatest common factor (GCF) of 29536 and 29552 is 16.

GCF(29536,29552) = 16

We will now calculate the prime factors of 29536 and 29552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29536 and 29552.

How to find the GCF of 29536 and 29552?

We will first find the prime factorization of 29536 and 29552. After we will calculate the factors of 29536 and 29552 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 29552

Prime factors of 29552 are 2, 1847. Prime factorization of 29552 in exponential form is:

29552 = 2⁴ × 1847¹

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 29552

List of positive integer factors of 29552 that divides 29536 without a remainder.

1, 2, 4, 8, 16, 1847, 3694, 7388, 14776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29536 and 29552. The biggest common factor number is the GCF number.
So the greatest common factor 29536 and 29552 is 16.

Also check out the Least Common Multiple of 29536 and 29552