What is the Greatest Common Factor of 58730 and 58740?

Greatest common factor (GCF) of 58730 and 58740 is 10.

GCF(58730,58740) = 10

We will now calculate the prime factors of 58730 and 58740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58730 and 58740.

How to find the GCF of 58730 and 58740?

We will first find the prime factorization of 58730 and 58740. After we will calculate the factors of 58730 and 58740 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58740

Prime factors of 58740 are 2, 3, 5, 11, 89. Prime factorization of 58740 in exponential form is:

58740 = 2² × 3¹ × 5¹ × 11¹ × 89¹

Step-3: Factors of 58730

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

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

Step-4: Factors of 58740

List of positive integer factors of 58740 that divides 58730 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 89, 110, 132, 165, 178, 220, 267, 330, 356, 445, 534, 660, 890, 979, 1068, 1335, 1780, 1958, 2670, 2937, 3916, 4895, 5340, 5874, 9790, 11748, 14685, 19580, 29370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58730 and 58740. The biggest common factor number is the GCF number.
So the greatest common factor 58730 and 58740 is 10.

Also check out the Least Common Multiple of 58730 and 58740