What is the Greatest Common Factor of 47508 and 47524?

Greatest common factor (GCF) of 47508 and 47524 is 4.

GCF(47508,47524) = 4

We will now calculate the prime factors of 47508 and 47524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47508 and 47524.

How to find the GCF of 47508 and 47524?

We will first find the prime factorization of 47508 and 47524. After we will calculate the factors of 47508 and 47524 and find the biggest common factor number .

Step-1: Prime Factorization of 47508

Prime factors of 47508 are 2, 3, 37, 107. Prime factorization of 47508 in exponential form is:

47508 = 2² × 3¹ × 37¹ × 107¹

Step-2: Prime Factorization of 47524

Prime factors of 47524 are 2, 109. Prime factorization of 47524 in exponential form is:

47524 = 2² × 109²

Step-3: Factors of 47508

List of positive integer factors of 47508 that divides 47508 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 107, 111, 148, 214, 222, 321, 428, 444, 642, 1284, 3959, 7918, 11877, 15836, 23754

Step-4: Factors of 47524

List of positive integer factors of 47524 that divides 47508 without a remainder.

1, 2, 4, 109, 218, 436, 11881, 23762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47508 and 47524. The biggest common factor number is the GCF number.
So the greatest common factor 47508 and 47524 is 4.

Also check out the Least Common Multiple of 47508 and 47524