What is the Greatest Common Factor of 75579 and 75585?

Greatest common factor (GCF) of 75579 and 75585 is 3.

GCF(75579,75585) = 3

We will now calculate the prime factors of 75579 and 75585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75579 and 75585.

How to find the GCF of 75579 and 75585?

We will first find the prime factorization of 75579 and 75585. After we will calculate the factors of 75579 and 75585 and find the biggest common factor number .

Step-1: Prime Factorization of 75579

Prime factors of 75579 are 3, 7, 59, 61. Prime factorization of 75579 in exponential form is:

75579 = 3¹ × 7¹ × 59¹ × 61¹

Step-2: Prime Factorization of 75585

Prime factors of 75585 are 3, 5, 5039. Prime factorization of 75585 in exponential form is:

75585 = 3¹ × 5¹ × 5039¹

Step-3: Factors of 75579

List of positive integer factors of 75579 that divides 75579 without a remainder.

1, 3, 7, 21, 59, 61, 177, 183, 413, 427, 1239, 1281, 3599, 10797, 25193

Step-4: Factors of 75585

List of positive integer factors of 75585 that divides 75579 without a remainder.

1, 3, 5, 15, 5039, 15117, 25195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75579 and 75585. The biggest common factor number is the GCF number.
So the greatest common factor 75579 and 75585 is 3.

Also check out the Least Common Multiple of 75579 and 75585