What is the Greatest Common Factor of 47424 and 47432?

Greatest common factor (GCF) of 47424 and 47432 is 8.

GCF(47424,47432) = 8

We will now calculate the prime factors of 47424 and 47432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47424 and 47432.

How to find the GCF of 47424 and 47432?

We will first find the prime factorization of 47424 and 47432. After we will calculate the factors of 47424 and 47432 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 47432

Prime factors of 47432 are 2, 7, 11. Prime factorization of 47432 in exponential form is:

47432 = 2³ × 7² × 11²

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 47432

List of positive integer factors of 47432 that divides 47424 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 121, 154, 196, 242, 308, 392, 484, 539, 616, 847, 968, 1078, 1694, 2156, 3388, 4312, 5929, 6776, 11858, 23716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47424 and 47432. The biggest common factor number is the GCF number.
So the greatest common factor 47424 and 47432 is 8.

Also check out the Least Common Multiple of 47424 and 47432