What is the Greatest Common Factor of 61308 and 61323?

Greatest common factor (GCF) of 61308 and 61323 is 3.

GCF(61308,61323) = 3

We will now calculate the prime factors of 61308 and 61323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61308 and 61323.

How to find the GCF of 61308 and 61323?

We will first find the prime factorization of 61308 and 61323. After we will calculate the factors of 61308 and 61323 and find the biggest common factor number .

Step-1: Prime Factorization of 61308

Prime factors of 61308 are 2, 3, 13, 131. Prime factorization of 61308 in exponential form is:

61308 = 2² × 3² × 13¹ × 131¹

Step-2: Prime Factorization of 61323

Prime factors of 61323 are 3, 20441. Prime factorization of 61323 in exponential form is:

61323 = 3¹ × 20441¹

Step-3: Factors of 61308

List of positive integer factors of 61308 that divides 61308 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 131, 156, 234, 262, 393, 468, 524, 786, 1179, 1572, 1703, 2358, 3406, 4716, 5109, 6812, 10218, 15327, 20436, 30654

Step-4: Factors of 61323

List of positive integer factors of 61323 that divides 61308 without a remainder.

1, 3, 20441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61308 and 61323. The biggest common factor number is the GCF number.
So the greatest common factor 61308 and 61323 is 3.

Also check out the Least Common Multiple of 61308 and 61323