What is the Greatest Common Factor of 61146 and 61161?

Greatest common factor (GCF) of 61146 and 61161 is 3.

GCF(61146,61161) = 3

We will now calculate the prime factors of 61146 and 61161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61146 and 61161.

How to find the GCF of 61146 and 61161?

We will first find the prime factorization of 61146 and 61161. After we will calculate the factors of 61146 and 61161 and find the biggest common factor number .

Step-1: Prime Factorization of 61146

Prime factors of 61146 are 2, 3, 43, 79. Prime factorization of 61146 in exponential form is:

61146 = 2¹ × 3² × 43¹ × 79¹

Step-2: Prime Factorization of 61161

Prime factors of 61161 are 3, 19, 29, 37. Prime factorization of 61161 in exponential form is:

61161 = 3¹ × 19¹ × 29¹ × 37¹

Step-3: Factors of 61146

List of positive integer factors of 61146 that divides 61146 without a remainder.

1, 2, 3, 6, 9, 18, 43, 79, 86, 129, 158, 237, 258, 387, 474, 711, 774, 1422, 3397, 6794, 10191, 20382, 30573

Step-4: Factors of 61161

List of positive integer factors of 61161 that divides 61146 without a remainder.

1, 3, 19, 29, 37, 57, 87, 111, 551, 703, 1073, 1653, 2109, 3219, 20387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61146 and 61161. The biggest common factor number is the GCF number.
So the greatest common factor 61146 and 61161 is 3.

Also check out the Least Common Multiple of 61146 and 61161