What is the Greatest Common Factor of 47488 and 47508?

Greatest common factor (GCF) of 47488 and 47508 is 4.

GCF(47488,47508) = 4

We will now calculate the prime factors of 47488 and 47508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47488 and 47508.

How to find the GCF of 47488 and 47508?

We will first find the prime factorization of 47488 and 47508. After we will calculate the factors of 47488 and 47508 and find the biggest common factor number .

Step-1: Prime Factorization of 47488

Prime factors of 47488 are 2, 7, 53. Prime factorization of 47488 in exponential form is:

47488 = 2⁷ × 7¹ × 53¹

Step-2: Prime Factorization of 47508

Prime factors of 47508 are 2, 3, 37, 107. Prime factorization of 47508 in exponential form is:

47508 = 2² × 3¹ × 37¹ × 107¹

Step-3: Factors of 47488

List of positive integer factors of 47488 that divides 47488 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 53, 56, 64, 106, 112, 128, 212, 224, 371, 424, 448, 742, 848, 896, 1484, 1696, 2968, 3392, 5936, 6784, 11872, 23744

Step-4: Factors of 47508

List of positive integer factors of 47508 that divides 47488 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 107, 111, 148, 214, 222, 321, 428, 444, 642, 1284, 3959, 7918, 11877, 15836, 23754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47488 and 47508. The biggest common factor number is the GCF number.
So the greatest common factor 47488 and 47508 is 4.

Also check out the Least Common Multiple of 47488 and 47508