What is the Greatest Common Factor of 58728 and 58740?

Greatest common factor (GCF) of 58728 and 58740 is 12.

GCF(58728,58740) = 12

We will now calculate the prime factors of 58728 and 58740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58728 and 58740.

How to find the GCF of 58728 and 58740?

We will first find the prime factorization of 58728 and 58740. After we will calculate the factors of 58728 and 58740 and find the biggest common factor number .

Step-1: Prime Factorization of 58728

Prime factors of 58728 are 2, 3, 2447. Prime factorization of 58728 in exponential form is:

58728 = 2³ × 3¹ × 2447¹

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 58728

List of positive integer factors of 58728 that divides 58728 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2447, 4894, 7341, 9788, 14682, 19576, 29364

Step-4: Factors of 58740

List of positive integer factors of 58740 that divides 58728 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 58728 and 58740. The biggest common factor number is the GCF number.
So the greatest common factor 58728 and 58740 is 12.

Also check out the Least Common Multiple of 58728 and 58740