What is the Greatest Common Factor of 58698 and 58716?

Greatest common factor (GCF) of 58698 and 58716 is 18.

GCF(58698,58716) = 18

We will now calculate the prime factors of 58698 and 58716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58698 and 58716.

How to find the GCF of 58698 and 58716?

We will first find the prime factorization of 58698 and 58716. After we will calculate the factors of 58698 and 58716 and find the biggest common factor number .

Step-1: Prime Factorization of 58698

Prime factors of 58698 are 2, 3, 1087. Prime factorization of 58698 in exponential form is:

58698 = 2¹ × 3³ × 1087¹

Step-2: Prime Factorization of 58716

Prime factors of 58716 are 2, 3, 7, 233. Prime factorization of 58716 in exponential form is:

58716 = 2² × 3² × 7¹ × 233¹

Step-3: Factors of 58698

List of positive integer factors of 58698 that divides 58698 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1087, 2174, 3261, 6522, 9783, 19566, 29349

Step-4: Factors of 58716

List of positive integer factors of 58716 that divides 58698 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 233, 252, 466, 699, 932, 1398, 1631, 2097, 2796, 3262, 4194, 4893, 6524, 8388, 9786, 14679, 19572, 29358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58698 and 58716. The biggest common factor number is the GCF number.
So the greatest common factor 58698 and 58716 is 18.

Also check out the Least Common Multiple of 58698 and 58716