What is the Greatest Common Factor of 58520 and 58530?

Greatest common factor (GCF) of 58520 and 58530 is 10.

GCF(58520,58530) = 10

We will now calculate the prime factors of 58520 and 58530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58520 and 58530.

How to find the GCF of 58520 and 58530?

We will first find the prime factorization of 58520 and 58530. After we will calculate the factors of 58520 and 58530 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 58530

Prime factors of 58530 are 2, 3, 5, 1951. Prime factorization of 58530 in exponential form is:

58530 = 2¹ × 3¹ × 5¹ × 1951¹

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 58530

List of positive integer factors of 58530 that divides 58520 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1951, 3902, 5853, 9755, 11706, 19510, 29265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58520 and 58530. The biggest common factor number is the GCF number.
So the greatest common factor 58520 and 58530 is 10.

Also check out the Least Common Multiple of 58520 and 58530