What is the Greatest Common Factor of 29161 and 29180?

Greatest common factor (GCF) of 29161 and 29180 is 1.

GCF(29161,29180) = 1

We will now calculate the prime factors of 29161 and 29180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29161 and 29180.

How to find the GCF of 29161 and 29180?

We will first find the prime factorization of 29161 and 29180. After we will calculate the factors of 29161 and 29180 and find the biggest common factor number .

Step-1: Prime Factorization of 29161

Prime factors of 29161 are 11, 241. Prime factorization of 29161 in exponential form is:

29161 = 11² × 241¹

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 29161

List of positive integer factors of 29161 that divides 29161 without a remainder.

1, 11, 121, 241, 2651

Step-4: Factors of 29180

List of positive integer factors of 29180 that divides 29161 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 29161 and 29180. The biggest common factor number is the GCF number.
So the greatest common factor 29161 and 29180 is 1.

Also check out the Least Common Multiple of 29161 and 29180