What is the Greatest Common Factor of 47420 and 47424?

Greatest common factor (GCF) of 47420 and 47424 is 4.

GCF(47420,47424) = 4

We will now calculate the prime factors of 47420 and 47424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47420 and 47424.

How to find the GCF of 47420 and 47424?

We will first find the prime factorization of 47420 and 47424. After we will calculate the factors of 47420 and 47424 and find the biggest common factor number .

Step-1: Prime Factorization of 47420

Prime factors of 47420 are 2, 5, 2371. Prime factorization of 47420 in exponential form is:

47420 = 2² × 5¹ × 2371¹

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 47420

List of positive integer factors of 47420 that divides 47420 without a remainder.

1, 2, 4, 5, 10, 20, 2371, 4742, 9484, 11855, 23710

Step-4: Factors of 47424

List of positive integer factors of 47424 that divides 47420 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 47420 and 47424. The biggest common factor number is the GCF number.
So the greatest common factor 47420 and 47424 is 4.

Also check out the Least Common Multiple of 47420 and 47424