What is the Greatest Common Factor of 3161 and 3180?

Greatest common factor (GCF) of 3161 and 3180 is 1.

GCF(3161,3180) = 1

We will now calculate the prime factors of 3161 and 3180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3161 and 3180.

How to find the GCF of 3161 and 3180?

We will first find the prime factorization of 3161 and 3180. After we will calculate the factors of 3161 and 3180 and find the biggest common factor number .

Step-1: Prime Factorization of 3161

Prime factors of 3161 are 29, 109. Prime factorization of 3161 in exponential form is:

3161 = 29¹ × 109¹

Step-2: Prime Factorization of 3180

Prime factors of 3180 are 2, 3, 5, 53. Prime factorization of 3180 in exponential form is:

3180 = 2² × 3¹ × 5¹ × 53¹

Step-3: Factors of 3161

List of positive integer factors of 3161 that divides 3161 without a remainder.

1, 29, 109

Step-4: Factors of 3180

List of positive integer factors of 3180 that divides 3161 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3161 and 3180. The biggest common factor number is the GCF number.
So the greatest common factor 3161 and 3180 is 1.

Also check out the Least Common Multiple of 3161 and 3180