What is the Greatest Common Factor of 47574 and 47588?

Greatest common factor (GCF) of 47574 and 47588 is 2.

GCF(47574,47588) = 2

We will now calculate the prime factors of 47574 and 47588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47574 and 47588.

How to find the GCF of 47574 and 47588?

We will first find the prime factorization of 47574 and 47588. After we will calculate the factors of 47574 and 47588 and find the biggest common factor number .

Step-1: Prime Factorization of 47574

Prime factors of 47574 are 2, 3, 881. Prime factorization of 47574 in exponential form is:

47574 = 2¹ × 3³ × 881¹

Step-2: Prime Factorization of 47588

Prime factors of 47588 are 2, 11897. Prime factorization of 47588 in exponential form is:

47588 = 2² × 11897¹

Step-3: Factors of 47574

List of positive integer factors of 47574 that divides 47574 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 881, 1762, 2643, 5286, 7929, 15858, 23787

Step-4: Factors of 47588

List of positive integer factors of 47588 that divides 47574 without a remainder.

1, 2, 4, 11897, 23794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47574 and 47588. The biggest common factor number is the GCF number.
So the greatest common factor 47574 and 47588 is 2.

Also check out the Least Common Multiple of 47574 and 47588