What is the Greatest Common Factor of 47574 and 47579?

Greatest common factor (GCF) of 47574 and 47579 is 1.

GCF(47574,47579) = 1

We will now calculate the prime factors of 47574 and 47579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47574 and 47579.

How to find the GCF of 47574 and 47579?

We will first find the prime factorization of 47574 and 47579. After we will calculate the factors of 47574 and 47579 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 47579

Prime factors of 47579 are 7, 971. Prime factorization of 47579 in exponential form is:

47579 = 7² × 971¹

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 47579

List of positive integer factors of 47579 that divides 47574 without a remainder.

1, 7, 49, 971, 6797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47574 and 47579. The biggest common factor number is the GCF number.
So the greatest common factor 47574 and 47579 is 1.

Also check out the Least Common Multiple of 47574 and 47579