What is the Greatest Common Factor of 47408 and 47424?

Greatest common factor (GCF) of 47408 and 47424 is 16.

GCF(47408,47424) = 16

We will now calculate the prime factors of 47408 and 47424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47408 and 47424.

How to find the GCF of 47408 and 47424?

We will first find the prime factorization of 47408 and 47424. After we will calculate the factors of 47408 and 47424 and find the biggest common factor number .

Step-1: Prime Factorization of 47408

Prime factors of 47408 are 2, 2963. Prime factorization of 47408 in exponential form is:

47408 = 2⁴ × 2963¹

Step-2: 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-3: Factors of 47408

List of positive integer factors of 47408 that divides 47408 without a remainder.

1, 2, 4, 8, 16, 2963, 5926, 11852, 23704

Step-4: Factors of 47424

List of positive integer factors of 47424 that divides 47408 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47408 and 47424. The biggest common factor number is the GCF number.
So the greatest common factor 47408 and 47424 is 16.

Also check out the Least Common Multiple of 47408 and 47424