What is the Greatest Common Factor of 47518 and 47532?

Greatest common factor (GCF) of 47518 and 47532 is 2.

GCF(47518,47532) = 2

We will now calculate the prime factors of 47518 and 47532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47518 and 47532.

How to find the GCF of 47518 and 47532?

We will first find the prime factorization of 47518 and 47532. After we will calculate the factors of 47518 and 47532 and find the biggest common factor number .

Step-1: Prime Factorization of 47518

Prime factors of 47518 are 2, 23, 1033. Prime factorization of 47518 in exponential form is:

47518 = 2¹ × 23¹ × 1033¹

Step-2: Prime Factorization of 47532

Prime factors of 47532 are 2, 3, 17, 233. Prime factorization of 47532 in exponential form is:

47532 = 2² × 3¹ × 17¹ × 233¹

Step-3: Factors of 47518

List of positive integer factors of 47518 that divides 47518 without a remainder.

1, 2, 23, 46, 1033, 2066, 23759

Step-4: Factors of 47532

List of positive integer factors of 47532 that divides 47518 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 233, 466, 699, 932, 1398, 2796, 3961, 7922, 11883, 15844, 23766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47518 and 47532. The biggest common factor number is the GCF number.
So the greatest common factor 47518 and 47532 is 2.

Also check out the Least Common Multiple of 47518 and 47532