What is the Greatest Common Factor of 60591 and 60610?

Greatest common factor (GCF) of 60591 and 60610 is 19.

GCF(60591,60610) = 19

We will now calculate the prime factors of 60591 and 60610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60591 and 60610.

How to find the GCF of 60591 and 60610?

We will first find the prime factorization of 60591 and 60610. After we will calculate the factors of 60591 and 60610 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60610

Prime factors of 60610 are 2, 5, 11, 19, 29. Prime factorization of 60610 in exponential form is:

60610 = 2¹ × 5¹ × 11¹ × 19¹ × 29¹

Step-3: Factors of 60591

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

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

Step-4: Factors of 60610

List of positive integer factors of 60610 that divides 60591 without a remainder.

1, 2, 5, 10, 11, 19, 22, 29, 38, 55, 58, 95, 110, 145, 190, 209, 290, 319, 418, 551, 638, 1045, 1102, 1595, 2090, 2755, 3190, 5510, 6061, 12122, 30305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60591 and 60610. The biggest common factor number is the GCF number.
So the greatest common factor 60591 and 60610 is 19.

Also check out the Least Common Multiple of 60591 and 60610