What is the Greatest Common Factor of 52470 and 52490?

Greatest common factor (GCF) of 52470 and 52490 is 10.

GCF(52470,52490) = 10

We will now calculate the prime factors of 52470 and 52490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52470 and 52490.

How to find the GCF of 52470 and 52490?

We will first find the prime factorization of 52470 and 52490. After we will calculate the factors of 52470 and 52490 and find the biggest common factor number .

Step-1: Prime Factorization of 52470

Prime factors of 52470 are 2, 3, 5, 11, 53. Prime factorization of 52470 in exponential form is:

52470 = 2¹ × 3² × 5¹ × 11¹ × 53¹

Step-2: Prime Factorization of 52490

Prime factors of 52490 are 2, 5, 29, 181. Prime factorization of 52490 in exponential form is:

52490 = 2¹ × 5¹ × 29¹ × 181¹

Step-3: Factors of 52470

List of positive integer factors of 52470 that divides 52470 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 53, 55, 66, 90, 99, 106, 110, 159, 165, 198, 265, 318, 330, 477, 495, 530, 583, 795, 954, 990, 1166, 1590, 1749, 2385, 2915, 3498, 4770, 5247, 5830, 8745, 10494, 17490, 26235

Step-4: Factors of 52490

List of positive integer factors of 52490 that divides 52470 without a remainder.

1, 2, 5, 10, 29, 58, 145, 181, 290, 362, 905, 1810, 5249, 10498, 26245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52470 and 52490. The biggest common factor number is the GCF number.
So the greatest common factor 52470 and 52490 is 10.

Also check out the Least Common Multiple of 52470 and 52490