What is the Greatest Common Factor of 60573 and 60591?

Greatest common factor (GCF) of 60573 and 60591 is 3.

GCF(60573,60591) = 3

We will now calculate the prime factors of 60573 and 60591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60573 and 60591.

How to find the GCF of 60573 and 60591?

We will first find the prime factorization of 60573 and 60591. After we will calculate the factors of 60573 and 60591 and find the biggest common factor number .

Step-1: Prime Factorization of 60573

Prime factors of 60573 are 3, 61, 331. Prime factorization of 60573 in exponential form is:

60573 = 3¹ × 61¹ × 331¹

Step-2: Prime Factorization of 60591

Prime factors of 60591 are 3, 19, 1063. Prime factorization of 60591 in exponential form is:

60591 = 3¹ × 19¹ × 1063¹

Step-3: Factors of 60573

List of positive integer factors of 60573 that divides 60573 without a remainder.

1, 3, 61, 183, 331, 993, 20191

Step-4: Factors of 60591

List of positive integer factors of 60591 that divides 60573 without a remainder.

1, 3, 19, 57, 1063, 3189, 20197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60573 and 60591. The biggest common factor number is the GCF number.
So the greatest common factor 60573 and 60591 is 3.

Also check out the Least Common Multiple of 60573 and 60591