What is the Greatest Common Factor of 58520 and 58540?

Greatest common factor (GCF) of 58520 and 58540 is 20.

GCF(58520,58540) = 20

We will now calculate the prime factors of 58520 and 58540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58520 and 58540.

How to find the GCF of 58520 and 58540?

We will first find the prime factorization of 58520 and 58540. After we will calculate the factors of 58520 and 58540 and find the biggest common factor number .

Step-1: Prime Factorization of 58520

Prime factors of 58520 are 2, 5, 7, 11, 19. Prime factorization of 58520 in exponential form is:

58520 = 2³ × 5¹ × 7¹ × 11¹ × 19¹

Step-2: Prime Factorization of 58540

Prime factors of 58540 are 2, 5, 2927. Prime factorization of 58540 in exponential form is:

58540 = 2² × 5¹ × 2927¹

Step-3: Factors of 58520

List of positive integer factors of 58520 that divides 58520 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 19, 20, 22, 28, 35, 38, 40, 44, 55, 56, 70, 76, 77, 88, 95, 110, 133, 140, 152, 154, 190, 209, 220, 266, 280, 308, 380, 385, 418, 440, 532, 616, 665, 760, 770, 836, 1045, 1064, 1330, 1463, 1540, 1672, 2090, 2660, 2926, 3080, 4180, 5320, 5852, 7315, 8360, 11704, 14630, 29260

Step-4: Factors of 58540

List of positive integer factors of 58540 that divides 58520 without a remainder.

1, 2, 4, 5, 10, 20, 2927, 5854, 11708, 14635, 29270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58520 and 58540. The biggest common factor number is the GCF number.
So the greatest common factor 58520 and 58540 is 20.

Also check out the Least Common Multiple of 58520 and 58540