What is the Greatest Common Factor of 52990 and 53010?

Greatest common factor (GCF) of 52990 and 53010 is 10.

GCF(52990,53010) = 10

We will now calculate the prime factors of 52990 and 53010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52990 and 53010.

How to find the GCF of 52990 and 53010?

We will first find the prime factorization of 52990 and 53010. After we will calculate the factors of 52990 and 53010 and find the biggest common factor number .

Step-1: Prime Factorization of 52990

Prime factors of 52990 are 2, 5, 7, 757. Prime factorization of 52990 in exponential form is:

52990 = 2¹ × 5¹ × 7¹ × 757¹

Step-2: Prime Factorization of 53010

Prime factors of 53010 are 2, 3, 5, 19, 31. Prime factorization of 53010 in exponential form is:

53010 = 2¹ × 3² × 5¹ × 19¹ × 31¹

Step-3: Factors of 52990

List of positive integer factors of 52990 that divides 52990 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 757, 1514, 3785, 5299, 7570, 10598, 26495

Step-4: Factors of 53010

List of positive integer factors of 53010 that divides 52990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 31, 38, 45, 57, 62, 90, 93, 95, 114, 155, 171, 186, 190, 279, 285, 310, 342, 465, 558, 570, 589, 855, 930, 1178, 1395, 1710, 1767, 2790, 2945, 3534, 5301, 5890, 8835, 10602, 17670, 26505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52990 and 53010. The biggest common factor number is the GCF number.
So the greatest common factor 52990 and 53010 is 10.

Also check out the Least Common Multiple of 52990 and 53010