What is the Greatest Common Factor of 58724 and 58740?

Greatest common factor (GCF) of 58724 and 58740 is 4.

GCF(58724,58740) = 4

We will now calculate the prime factors of 58724 and 58740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58724 and 58740.

How to find the GCF of 58724 and 58740?

We will first find the prime factorization of 58724 and 58740. After we will calculate the factors of 58724 and 58740 and find the biggest common factor number .

Step-1: Prime Factorization of 58724

Prime factors of 58724 are 2, 53, 277. Prime factorization of 58724 in exponential form is:

58724 = 2² × 53¹ × 277¹

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 58724

List of positive integer factors of 58724 that divides 58724 without a remainder.

1, 2, 4, 53, 106, 212, 277, 554, 1108, 14681, 29362

Step-4: Factors of 58740

List of positive integer factors of 58740 that divides 58724 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 58724 and 58740. The biggest common factor number is the GCF number.
So the greatest common factor 58724 and 58740 is 4.

Also check out the Least Common Multiple of 58724 and 58740