What is the Greatest Common Factor of 58890 and 58903?

Greatest common factor (GCF) of 58890 and 58903 is 13.

GCF(58890,58903) = 13

We will now calculate the prime factors of 58890 and 58903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58890 and 58903.

How to find the GCF of 58890 and 58903?

We will first find the prime factorization of 58890 and 58903. After we will calculate the factors of 58890 and 58903 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58903

Prime factors of 58903 are 13, 23, 197. Prime factorization of 58903 in exponential form is:

58903 = 13¹ × 23¹ × 197¹

Step-3: Factors of 58890

List of positive integer factors of 58890 that divides 58890 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

Step-4: Factors of 58903

List of positive integer factors of 58903 that divides 58890 without a remainder.

1, 13, 23, 197, 299, 2561, 4531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58890 and 58903. The biggest common factor number is the GCF number.
So the greatest common factor 58890 and 58903 is 13.

Also check out the Least Common Multiple of 58890 and 58903