What is the Greatest Common Factor of 47524 and 47538?

Greatest common factor (GCF) of 47524 and 47538 is 2.

GCF(47524,47538) = 2

We will now calculate the prime factors of 47524 and 47538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47524 and 47538.

How to find the GCF of 47524 and 47538?

We will first find the prime factorization of 47524 and 47538. After we will calculate the factors of 47524 and 47538 and find the biggest common factor number .

Step-1: Prime Factorization of 47524

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

47524 = 2² × 109²

Step-2: Prime Factorization of 47538

Prime factors of 47538 are 2, 3, 19, 139. Prime factorization of 47538 in exponential form is:

47538 = 2¹ × 3² × 19¹ × 139¹

Step-3: Factors of 47524

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

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

Step-4: Factors of 47538

List of positive integer factors of 47538 that divides 47524 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 139, 171, 278, 342, 417, 834, 1251, 2502, 2641, 5282, 7923, 15846, 23769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47524 and 47538. The biggest common factor number is the GCF number.
So the greatest common factor 47524 and 47538 is 2.

Also check out the Least Common Multiple of 47524 and 47538