What is the Greatest Common Factor of 47518 and 47528?

Greatest common factor (GCF) of 47518 and 47528 is 2.

GCF(47518,47528) = 2

We will now calculate the prime factors of 47518 and 47528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47518 and 47528.

How to find the GCF of 47518 and 47528?

We will first find the prime factorization of 47518 and 47528. After we will calculate the factors of 47518 and 47528 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 47528

Prime factors of 47528 are 2, 13, 457. Prime factorization of 47528 in exponential form is:

47528 = 2³ × 13¹ × 457¹

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 47528

List of positive integer factors of 47528 that divides 47518 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 457, 914, 1828, 3656, 5941, 11882, 23764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47518 and 47528. The biggest common factor number is the GCF number.
So the greatest common factor 47518 and 47528 is 2.

Also check out the Least Common Multiple of 47518 and 47528