What is the Greatest Common Factor of 29168 and 29180?

Greatest common factor (GCF) of 29168 and 29180 is 4.

GCF(29168,29180) = 4

We will now calculate the prime factors of 29168 and 29180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29168 and 29180.

How to find the GCF of 29168 and 29180?

We will first find the prime factorization of 29168 and 29180. After we will calculate the factors of 29168 and 29180 and find the biggest common factor number .

Step-1: Prime Factorization of 29168

Prime factors of 29168 are 2, 1823. Prime factorization of 29168 in exponential form is:

29168 = 2⁴ × 1823¹

Step-2: Prime Factorization of 29180

Prime factors of 29180 are 2, 5, 1459. Prime factorization of 29180 in exponential form is:

29180 = 2² × 5¹ × 1459¹

Step-3: Factors of 29168

List of positive integer factors of 29168 that divides 29168 without a remainder.

1, 2, 4, 8, 16, 1823, 3646, 7292, 14584

Step-4: Factors of 29180

List of positive integer factors of 29180 that divides 29168 without a remainder.

1, 2, 4, 5, 10, 20, 1459, 2918, 5836, 7295, 14590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29168 and 29180. The biggest common factor number is the GCF number.
So the greatest common factor 29168 and 29180 is 4.

Also check out the Least Common Multiple of 29168 and 29180