What is the Greatest Common Factor of 58884 and 58890?

Greatest common factor (GCF) of 58884 and 58890 is 6.

GCF(58884,58890) = 6

We will now calculate the prime factors of 58884 and 58890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58884 and 58890.

How to find the GCF of 58884 and 58890?

We will first find the prime factorization of 58884 and 58890. After we will calculate the factors of 58884 and 58890 and find the biggest common factor number .

Step-1: Prime Factorization of 58884

Prime factors of 58884 are 2, 3, 7, 701. Prime factorization of 58884 in exponential form is:

58884 = 2² × 3¹ × 7¹ × 701¹

Step-2: Prime Factorization of 58890

Prime factors of 58890 are 2, 3, 5, 13, 151. Prime factorization of 58890 in exponential form is:

58890 = 2¹ × 3¹ × 5¹ × 13¹ × 151¹

Step-3: Factors of 58884

List of positive integer factors of 58884 that divides 58884 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 701, 1402, 2103, 2804, 4206, 4907, 8412, 9814, 14721, 19628, 29442

Step-4: Factors of 58890

List of positive integer factors of 58890 that divides 58884 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 151, 195, 302, 390, 453, 755, 906, 1510, 1963, 2265, 3926, 4530, 5889, 9815, 11778, 19630, 29445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58884 and 58890. The biggest common factor number is the GCF number.
So the greatest common factor 58884 and 58890 is 6.

Also check out the Least Common Multiple of 58884 and 58890