What is the Greatest Common Factor of 29504 and 29522?

Greatest common factor (GCF) of 29504 and 29522 is 2.

GCF(29504,29522) = 2

We will now calculate the prime factors of 29504 and 29522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29504 and 29522.

How to find the GCF of 29504 and 29522?

We will first find the prime factorization of 29504 and 29522. After we will calculate the factors of 29504 and 29522 and find the biggest common factor number .

Step-1: Prime Factorization of 29504

Prime factors of 29504 are 2, 461. Prime factorization of 29504 in exponential form is:

29504 = 2⁶ × 461¹

Step-2: Prime Factorization of 29522

Prime factors of 29522 are 2, 29, 509. Prime factorization of 29522 in exponential form is:

29522 = 2¹ × 29¹ × 509¹

Step-3: Factors of 29504

List of positive integer factors of 29504 that divides 29504 without a remainder.

1, 2, 4, 8, 16, 32, 64, 461, 922, 1844, 3688, 7376, 14752

Step-4: Factors of 29522

List of positive integer factors of 29522 that divides 29504 without a remainder.

1, 2, 29, 58, 509, 1018, 14761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29504 and 29522. The biggest common factor number is the GCF number.
So the greatest common factor 29504 and 29522 is 2.

Also check out the Least Common Multiple of 29504 and 29522