What is the Greatest Common Factor of 47579 and 47585?

Greatest common factor (GCF) of 47579 and 47585 is 1.

GCF(47579,47585) = 1

We will now calculate the prime factors of 47579 and 47585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47579 and 47585.

How to find the GCF of 47579 and 47585?

We will first find the prime factorization of 47579 and 47585. After we will calculate the factors of 47579 and 47585 and find the biggest common factor number .

Step-1: Prime Factorization of 47579

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

47579 = 7² × 971¹

Step-2: Prime Factorization of 47585

Prime factors of 47585 are 5, 31, 307. Prime factorization of 47585 in exponential form is:

47585 = 5¹ × 31¹ × 307¹

Step-3: Factors of 47579

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

1, 7, 49, 971, 6797

Step-4: Factors of 47585

List of positive integer factors of 47585 that divides 47579 without a remainder.

1, 5, 31, 155, 307, 1535, 9517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47579 and 47585. The biggest common factor number is the GCF number.
So the greatest common factor 47579 and 47585 is 1.

Also check out the Least Common Multiple of 47579 and 47585