What is the Greatest Common Factor of 58716 and 58730?

Greatest common factor (GCF) of 58716 and 58730 is 14.

GCF(58716,58730) = 14

We will now calculate the prime factors of 58716 and 58730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58716 and 58730.

How to find the GCF of 58716 and 58730?

We will first find the prime factorization of 58716 and 58730. After we will calculate the factors of 58716 and 58730 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58730

Prime factors of 58730 are 2, 5, 7, 839. Prime factorization of 58730 in exponential form is:

58730 = 2¹ × 5¹ × 7¹ × 839¹

Step-3: Factors of 58716

List of positive integer factors of 58716 that divides 58716 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

Step-4: Factors of 58730

List of positive integer factors of 58730 that divides 58716 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 839, 1678, 4195, 5873, 8390, 11746, 29365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58716 and 58730. The biggest common factor number is the GCF number.
So the greatest common factor 58716 and 58730 is 14.

Also check out the Least Common Multiple of 58716 and 58730