What is the Greatest Common Factor of 58701 and 58710?

Greatest common factor (GCF) of 58701 and 58710 is 3.

GCF(58701,58710) = 3

We will now calculate the prime factors of 58701 and 58710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58701 and 58710.

How to find the GCF of 58701 and 58710?

We will first find the prime factorization of 58701 and 58710. After we will calculate the factors of 58701 and 58710 and find the biggest common factor number .

Step-1: Prime Factorization of 58701

Prime factors of 58701 are 3, 17, 1151. Prime factorization of 58701 in exponential form is:

58701 = 3¹ × 17¹ × 1151¹

Step-2: Prime Factorization of 58710

Prime factors of 58710 are 2, 3, 5, 19, 103. Prime factorization of 58710 in exponential form is:

58710 = 2¹ × 3¹ × 5¹ × 19¹ × 103¹

Step-3: Factors of 58701

List of positive integer factors of 58701 that divides 58701 without a remainder.

1, 3, 17, 51, 1151, 3453, 19567

Step-4: Factors of 58710

List of positive integer factors of 58710 that divides 58701 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 103, 114, 190, 206, 285, 309, 515, 570, 618, 1030, 1545, 1957, 3090, 3914, 5871, 9785, 11742, 19570, 29355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58701 and 58710. The biggest common factor number is the GCF number.
So the greatest common factor 58701 and 58710 is 3.

Also check out the Least Common Multiple of 58701 and 58710