What is the Greatest Common Factor of 47452 and 47472?

Greatest common factor (GCF) of 47452 and 47472 is 4.

GCF(47452,47472) = 4

We will now calculate the prime factors of 47452 and 47472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47452 and 47472.

How to find the GCF of 47452 and 47472?

We will first find the prime factorization of 47452 and 47472. After we will calculate the factors of 47452 and 47472 and find the biggest common factor number .

Step-1: Prime Factorization of 47452

Prime factors of 47452 are 2, 11863. Prime factorization of 47452 in exponential form is:

47452 = 2² × 11863¹

Step-2: 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-3: Factors of 47452

List of positive integer factors of 47452 that divides 47452 without a remainder.

1, 2, 4, 11863, 23726

Step-4: Factors of 47472

List of positive integer factors of 47472 that divides 47452 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47452 and 47472. The biggest common factor number is the GCF number.
So the greatest common factor 47452 and 47472 is 4.

Also check out the Least Common Multiple of 47452 and 47472