What is the Greatest Common Factor of 52320 and 52332?

Greatest common factor (GCF) of 52320 and 52332 is 12.

GCF(52320,52332) = 12

We will now calculate the prime factors of 52320 and 52332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52320 and 52332.

How to find the GCF of 52320 and 52332?

We will first find the prime factorization of 52320 and 52332. After we will calculate the factors of 52320 and 52332 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 52332

Prime factors of 52332 are 2, 3, 7, 89. Prime factorization of 52332 in exponential form is:

52332 = 2² × 3¹ × 7² × 89¹

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 52332

List of positive integer factors of 52332 that divides 52320 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 89, 98, 147, 178, 196, 267, 294, 356, 534, 588, 623, 1068, 1246, 1869, 2492, 3738, 4361, 7476, 8722, 13083, 17444, 26166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52320 and 52332. The biggest common factor number is the GCF number.
So the greatest common factor 52320 and 52332 is 12.

Also check out the Least Common Multiple of 52320 and 52332