What is the Greatest Common Factor of 47488 and 47497?

Greatest common factor (GCF) of 47488 and 47497 is 1.

GCF(47488,47497) = 1

We will now calculate the prime factors of 47488 and 47497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47488 and 47497.

How to find the GCF of 47488 and 47497?

We will first find the prime factorization of 47488 and 47497. After we will calculate the factors of 47488 and 47497 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 47497

Prime factors of 47497 are 47497. Prime factorization of 47497 in exponential form is:

47497 = 47497¹

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 47497

List of positive integer factors of 47497 that divides 47488 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47488 and 47497. The biggest common factor number is the GCF number.
So the greatest common factor 47488 and 47497 is 1.

Also check out the Least Common Multiple of 47488 and 47497