What is the Greatest Common Factor of 52320 and 52330?

Greatest common factor (GCF) of 52320 and 52330 is 10.

GCF(52320,52330) = 10

We will now calculate the prime factors of 52320 and 52330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52320 and 52330.

How to find the GCF of 52320 and 52330?

We will first find the prime factorization of 52320 and 52330. After we will calculate the factors of 52320 and 52330 and find the biggest common factor number .

Step-1: Prime Factorization of 52320

Prime factors of 52320 are 2, 3, 5, 109. Prime factorization of 52320 in exponential form is:

52320 = 2⁵ × 3¹ × 5¹ × 109¹

Step-2: Prime Factorization of 52330

Prime factors of 52330 are 2, 5, 5233. Prime factorization of 52330 in exponential form is:

52330 = 2¹ × 5¹ × 5233¹

Step-3: Factors of 52320

List of positive integer factors of 52320 that divides 52320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 109, 120, 160, 218, 240, 327, 436, 480, 545, 654, 872, 1090, 1308, 1635, 1744, 2180, 2616, 3270, 3488, 4360, 5232, 6540, 8720, 10464, 13080, 17440, 26160

Step-4: Factors of 52330

List of positive integer factors of 52330 that divides 52320 without a remainder.

1, 2, 5, 10, 5233, 10466, 26165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52320 and 52330. The biggest common factor number is the GCF number.
So the greatest common factor 52320 and 52330 is 10.

Also check out the Least Common Multiple of 52320 and 52330