What is the Greatest Common Factor of 47428 and 47438?

Greatest common factor (GCF) of 47428 and 47438 is 2.

GCF(47428,47438) = 2

We will now calculate the prime factors of 47428 and 47438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47428 and 47438.

How to find the GCF of 47428 and 47438?

We will first find the prime factorization of 47428 and 47438. After we will calculate the factors of 47428 and 47438 and find the biggest common factor number .

Step-1: Prime Factorization of 47428

Prime factors of 47428 are 2, 71, 167. Prime factorization of 47428 in exponential form is:

47428 = 2² × 71¹ × 167¹

Step-2: Prime Factorization of 47438

Prime factors of 47438 are 2, 23719. Prime factorization of 47438 in exponential form is:

47438 = 2¹ × 23719¹

Step-3: Factors of 47428

List of positive integer factors of 47428 that divides 47428 without a remainder.

1, 2, 4, 71, 142, 167, 284, 334, 668, 11857, 23714

Step-4: Factors of 47438

List of positive integer factors of 47438 that divides 47428 without a remainder.

1, 2, 23719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47428 and 47438. The biggest common factor number is the GCF number.
So the greatest common factor 47428 and 47438 is 2.

Also check out the Least Common Multiple of 47428 and 47438