What is the Greatest Common Factor of 47472 and 47482?

Greatest common factor (GCF) of 47472 and 47482 is 2.

GCF(47472,47482) = 2

We will now calculate the prime factors of 47472 and 47482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47472 and 47482.

How to find the GCF of 47472 and 47482?

We will first find the prime factorization of 47472 and 47482. After we will calculate the factors of 47472 and 47482 and find the biggest common factor number .

Step-1: Prime Factorization of 47472

Prime factors of 47472 are 2, 3, 23, 43. Prime factorization of 47472 in exponential form is:

47472 = 2⁴ × 3¹ × 23¹ × 43¹

Step-2: Prime Factorization of 47482

Prime factors of 47482 are 2, 23741. Prime factorization of 47482 in exponential form is:

47482 = 2¹ × 23741¹

Step-3: Factors of 47472

List of positive integer factors of 47472 that divides 47472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 43, 46, 48, 69, 86, 92, 129, 138, 172, 184, 258, 276, 344, 368, 516, 552, 688, 989, 1032, 1104, 1978, 2064, 2967, 3956, 5934, 7912, 11868, 15824, 23736

Step-4: Factors of 47482

List of positive integer factors of 47482 that divides 47472 without a remainder.

1, 2, 23741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47472 and 47482. The biggest common factor number is the GCF number.
So the greatest common factor 47472 and 47482 is 2.

Also check out the Least Common Multiple of 47472 and 47482