What is the Greatest Common Factor of 47024 and 47036?

Greatest common factor (GCF) of 47024 and 47036 is 4.

GCF(47024,47036) = 4

We will now calculate the prime factors of 47024 and 47036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47024 and 47036.

How to find the GCF of 47024 and 47036?

We will first find the prime factorization of 47024 and 47036. After we will calculate the factors of 47024 and 47036 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 47036

Prime factors of 47036 are 2, 11, 1069. Prime factorization of 47036 in exponential form is:

47036 = 2² × 11¹ × 1069¹

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 47036

List of positive integer factors of 47036 that divides 47024 without a remainder.

1, 2, 4, 11, 22, 44, 1069, 2138, 4276, 11759, 23518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47024 and 47036. The biggest common factor number is the GCF number.
So the greatest common factor 47024 and 47036 is 4.

Also check out the Least Common Multiple of 47024 and 47036