What is the Greatest Common Factor of 60587 and 60591?

Greatest common factor (GCF) of 60587 and 60591 is 1.

GCF(60587,60591) = 1

We will now calculate the prime factors of 60587 and 60591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60587 and 60591.

How to find the GCF of 60587 and 60591?

We will first find the prime factorization of 60587 and 60591. After we will calculate the factors of 60587 and 60591 and find the biggest common factor number .

Step-1: Prime Factorization of 60587

Prime factors of 60587 are 43, 1409. Prime factorization of 60587 in exponential form is:

60587 = 43¹ × 1409¹

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 60587

List of positive integer factors of 60587 that divides 60587 without a remainder.

1, 43, 1409

Step-4: Factors of 60591

List of positive integer factors of 60591 that divides 60587 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60587 and 60591. The biggest common factor number is the GCF number.
So the greatest common factor 60587 and 60591 is 1.

Also check out the Least Common Multiple of 60587 and 60591