What is the Greatest Common Factor of 47424 and 47437?

Greatest common factor (GCF) of 47424 and 47437 is 13.

GCF(47424,47437) = 13

We will now calculate the prime factors of 47424 and 47437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47424 and 47437.

How to find the GCF of 47424 and 47437?

We will first find the prime factorization of 47424 and 47437. After we will calculate the factors of 47424 and 47437 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 47437

Prime factors of 47437 are 13, 41, 89. Prime factorization of 47437 in exponential form is:

47437 = 13¹ × 41¹ × 89¹

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 47437

List of positive integer factors of 47437 that divides 47424 without a remainder.

1, 13, 41, 89, 533, 1157, 3649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47424 and 47437. The biggest common factor number is the GCF number.
So the greatest common factor 47424 and 47437 is 13.

Also check out the Least Common Multiple of 47424 and 47437