What is the Greatest Common Factor of 47424 and 47433?

Greatest common factor (GCF) of 47424 and 47433 is 3.

GCF(47424,47433) = 3

We will now calculate the prime factors of 47424 and 47433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47424 and 47433.

How to find the GCF of 47424 and 47433?

We will first find the prime factorization of 47424 and 47433. After we will calculate the factors of 47424 and 47433 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 47433

Prime factors of 47433 are 3, 97, 163. Prime factorization of 47433 in exponential form is:

47433 = 3¹ × 97¹ × 163¹

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 47433

List of positive integer factors of 47433 that divides 47424 without a remainder.

1, 3, 97, 163, 291, 489, 15811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47424 and 47433. The biggest common factor number is the GCF number.
So the greatest common factor 47424 and 47433 is 3.

Also check out the Least Common Multiple of 47424 and 47433