What is the Greatest Common Factor of 29534 and 29552?

Greatest common factor (GCF) of 29534 and 29552 is 2.

GCF(29534,29552) = 2

We will now calculate the prime factors of 29534 and 29552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29534 and 29552.

How to find the GCF of 29534 and 29552?

We will first find the prime factorization of 29534 and 29552. After we will calculate the factors of 29534 and 29552 and find the biggest common factor number .

Step-1: Prime Factorization of 29534

Prime factors of 29534 are 2, 14767. Prime factorization of 29534 in exponential form is:

29534 = 2¹ × 14767¹

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 29534

List of positive integer factors of 29534 that divides 29534 without a remainder.

1, 2, 14767

Step-4: Factors of 29552

List of positive integer factors of 29552 that divides 29534 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 29534 and 29552. The biggest common factor number is the GCF number.
So the greatest common factor 29534 and 29552 is 2.

Also check out the Least Common Multiple of 29534 and 29552