What is the Greatest Common Factor of 52470 and 52475?

Greatest common factor (GCF) of 52470 and 52475 is 5.

GCF(52470,52475) = 5

We will now calculate the prime factors of 52470 and 52475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52470 and 52475.

How to find the GCF of 52470 and 52475?

We will first find the prime factorization of 52470 and 52475. After we will calculate the factors of 52470 and 52475 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 52475

Prime factors of 52475 are 5, 2099. Prime factorization of 52475 in exponential form is:

52475 = 5² × 2099¹

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 52475

List of positive integer factors of 52475 that divides 52470 without a remainder.

1, 5, 25, 2099, 10495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52470 and 52475. The biggest common factor number is the GCF number.
So the greatest common factor 52470 and 52475 is 5.

Also check out the Least Common Multiple of 52470 and 52475