What is the Greatest Common Factor of 52470 and 52479?

Greatest common factor (GCF) of 52470 and 52479 is 9.

GCF(52470,52479) = 9

We will now calculate the prime factors of 52470 and 52479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52470 and 52479.

How to find the GCF of 52470 and 52479?

We will first find the prime factorization of 52470 and 52479. After we will calculate the factors of 52470 and 52479 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 52479

Prime factors of 52479 are 3, 7, 17. Prime factorization of 52479 in exponential form is:

52479 = 3² × 7³ × 17¹

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 52479

List of positive integer factors of 52479 that divides 52470 without a remainder.

1, 3, 7, 9, 17, 21, 49, 51, 63, 119, 147, 153, 343, 357, 441, 833, 1029, 1071, 2499, 3087, 5831, 7497, 17493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52470 and 52479. The biggest common factor number is the GCF number.
So the greatest common factor 52470 and 52479 is 9.

Also check out the Least Common Multiple of 52470 and 52479