What is the Greatest Common Factor of 47024 and 47038?

Greatest common factor (GCF) of 47024 and 47038 is 2.

GCF(47024,47038) = 2

We will now calculate the prime factors of 47024 and 47038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47024 and 47038.

How to find the GCF of 47024 and 47038?

We will first find the prime factorization of 47024 and 47038. After we will calculate the factors of 47024 and 47038 and find the biggest common factor number .

Step-1: Prime Factorization of 47024

Prime factors of 47024 are 2, 2939. Prime factorization of 47024 in exponential form is:

47024 = 2⁴ × 2939¹

Step-2: Prime Factorization of 47038

Prime factors of 47038 are 2, 29, 811. Prime factorization of 47038 in exponential form is:

47038 = 2¹ × 29¹ × 811¹

Step-3: Factors of 47024

List of positive integer factors of 47024 that divides 47024 without a remainder.

1, 2, 4, 8, 16, 2939, 5878, 11756, 23512

Step-4: Factors of 47038

List of positive integer factors of 47038 that divides 47024 without a remainder.

1, 2, 29, 58, 811, 1622, 23519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47024 and 47038. The biggest common factor number is the GCF number.
So the greatest common factor 47024 and 47038 is 2.

Also check out the Least Common Multiple of 47024 and 47038