What is the Greatest Common Factor of 47424 and 47431?

Greatest common factor (GCF) of 47424 and 47431 is 1.

GCF(47424,47431) = 1

We will now calculate the prime factors of 47424 and 47431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47424 and 47431.

How to find the GCF of 47424 and 47431?

We will first find the prime factorization of 47424 and 47431. After we will calculate the factors of 47424 and 47431 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 47431

Prime factors of 47431 are 47431. Prime factorization of 47431 in exponential form is:

47431 = 47431¹

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 47431

List of positive integer factors of 47431 that divides 47424 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47424 and 47431. The biggest common factor number is the GCF number.
So the greatest common factor 47424 and 47431 is 1.

Also check out the Least Common Multiple of 47424 and 47431