What is the Greatest Common Factor of 61293 and 61308?

Greatest common factor (GCF) of 61293 and 61308 is 3.

GCF(61293,61308) = 3

We will now calculate the prime factors of 61293 and 61308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61293 and 61308.

How to find the GCF of 61293 and 61308?

We will first find the prime factorization of 61293 and 61308. After we will calculate the factors of 61293 and 61308 and find the biggest common factor number .

Step-1: Prime Factorization of 61293

Prime factors of 61293 are 3, 20431. Prime factorization of 61293 in exponential form is:

61293 = 3¹ × 20431¹

Step-2: 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-3: Factors of 61293

List of positive integer factors of 61293 that divides 61293 without a remainder.

1, 3, 20431

Step-4: Factors of 61308

List of positive integer factors of 61308 that divides 61293 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61293 and 61308. The biggest common factor number is the GCF number.
So the greatest common factor 61293 and 61308 is 3.

Also check out the Least Common Multiple of 61293 and 61308