What is the Greatest Common Factor of 47488 and 47506?

Greatest common factor (GCF) of 47488 and 47506 is 2.

GCF(47488,47506) = 2

We will now calculate the prime factors of 47488 and 47506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47488 and 47506.

How to find the GCF of 47488 and 47506?

We will first find the prime factorization of 47488 and 47506. After we will calculate the factors of 47488 and 47506 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 47506

Prime factors of 47506 are 2, 23753. Prime factorization of 47506 in exponential form is:

47506 = 2¹ × 23753¹

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 47506

List of positive integer factors of 47506 that divides 47488 without a remainder.

1, 2, 23753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47488 and 47506. The biggest common factor number is the GCF number.
So the greatest common factor 47488 and 47506 is 2.

Also check out the Least Common Multiple of 47488 and 47506