What is the Greatest Common Factor of 47424 and 47443?

Greatest common factor (GCF) of 47424 and 47443 is 19.

GCF(47424,47443) = 19

We will now calculate the prime factors of 47424 and 47443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47424 and 47443.

How to find the GCF of 47424 and 47443?

We will first find the prime factorization of 47424 and 47443. After we will calculate the factors of 47424 and 47443 and find the biggest common factor number .

Step-1: Prime Factorization of 47424

Prime factors of 47424 are 2, 3, 13, 19. Prime factorization of 47424 in exponential form is:

47424 = 2⁶ × 3¹ × 13¹ × 19¹

Step-2: Prime Factorization of 47443

Prime factors of 47443 are 11, 19, 227. Prime factorization of 47443 in exponential form is:

47443 = 11¹ × 19¹ × 227¹

Step-3: Factors of 47424

List of positive integer factors of 47424 that divides 47424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 19, 24, 26, 32, 38, 39, 48, 52, 57, 64, 76, 78, 96, 104, 114, 152, 156, 192, 208, 228, 247, 304, 312, 416, 456, 494, 608, 624, 741, 832, 912, 988, 1216, 1248, 1482, 1824, 1976, 2496, 2964, 3648, 3952, 5928, 7904, 11856, 15808, 23712

Step-4: Factors of 47443

List of positive integer factors of 47443 that divides 47424 without a remainder.

1, 11, 19, 209, 227, 2497, 4313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47424 and 47443. The biggest common factor number is the GCF number.
So the greatest common factor 47424 and 47443 is 19.

Also check out the Least Common Multiple of 47424 and 47443