What is the Greatest Common Factor of 58092 and 58104?

Greatest common factor (GCF) of 58092 and 58104 is 12.

GCF(58092,58104) = 12

We will now calculate the prime factors of 58092 and 58104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58092 and 58104.

How to find the GCF of 58092 and 58104?

We will first find the prime factorization of 58092 and 58104. After we will calculate the factors of 58092 and 58104 and find the biggest common factor number .

Step-1: Prime Factorization of 58092

Prime factors of 58092 are 2, 3, 47, 103. Prime factorization of 58092 in exponential form is:

58092 = 2² × 3¹ × 47¹ × 103¹

Step-2: Prime Factorization of 58104

Prime factors of 58104 are 2, 3, 269. Prime factorization of 58104 in exponential form is:

58104 = 2³ × 3³ × 269¹

Step-3: Factors of 58092

List of positive integer factors of 58092 that divides 58092 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 103, 141, 188, 206, 282, 309, 412, 564, 618, 1236, 4841, 9682, 14523, 19364, 29046

Step-4: Factors of 58104

List of positive integer factors of 58104 that divides 58092 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 269, 538, 807, 1076, 1614, 2152, 2421, 3228, 4842, 6456, 7263, 9684, 14526, 19368, 29052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58092 and 58104. The biggest common factor number is the GCF number.
So the greatest common factor 58092 and 58104 is 12.

Also check out the Least Common Multiple of 58092 and 58104