What is the Greatest Common Factor of 58770 and 58788?

Greatest common factor (GCF) of 58770 and 58788 is 18.

GCF(58770,58788) = 18

We will now calculate the prime factors of 58770 and 58788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58770 and 58788.

How to find the GCF of 58770 and 58788?

We will first find the prime factorization of 58770 and 58788. After we will calculate the factors of 58770 and 58788 and find the biggest common factor number .

Step-1: Prime Factorization of 58770

Prime factors of 58770 are 2, 3, 5, 653. Prime factorization of 58770 in exponential form is:

58770 = 2¹ × 3² × 5¹ × 653¹

Step-2: Prime Factorization of 58788

Prime factors of 58788 are 2, 3, 23, 71. Prime factorization of 58788 in exponential form is:

58788 = 2² × 3² × 23¹ × 71¹

Step-3: Factors of 58770

List of positive integer factors of 58770 that divides 58770 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 653, 1306, 1959, 3265, 3918, 5877, 6530, 9795, 11754, 19590, 29385

Step-4: Factors of 58788

List of positive integer factors of 58788 that divides 58770 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 71, 92, 138, 142, 207, 213, 276, 284, 414, 426, 639, 828, 852, 1278, 1633, 2556, 3266, 4899, 6532, 9798, 14697, 19596, 29394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58770 and 58788. The biggest common factor number is the GCF number.
So the greatest common factor 58770 and 58788 is 18.

Also check out the Least Common Multiple of 58770 and 58788