What is the Greatest Common Factor of 10585 and 10591?

Greatest common factor (GCF) of 10585 and 10591 is 1.

GCF(10585,10591) = 1

We will now calculate the prime factors of 10585 and 10591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10585 and 10591.

How to find the GCF of 10585 and 10591?

We will first find the prime factorization of 10585 and 10591. After we will calculate the factors of 10585 and 10591 and find the biggest common factor number .

Step-1: Prime Factorization of 10585

Prime factors of 10585 are 5, 29, 73. Prime factorization of 10585 in exponential form is:

10585 = 5¹ × 29¹ × 73¹

Step-2: Prime Factorization of 10591

Prime factors of 10591 are 7, 17, 89. Prime factorization of 10591 in exponential form is:

10591 = 7¹ × 17¹ × 89¹

Step-3: Factors of 10585

List of positive integer factors of 10585 that divides 10585 without a remainder.

1, 5, 29, 73, 145, 365, 2117

Step-4: Factors of 10591

List of positive integer factors of 10591 that divides 10585 without a remainder.

1, 7, 17, 89, 119, 623, 1513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10585 and 10591. The biggest common factor number is the GCF number.
So the greatest common factor 10585 and 10591 is 1.

Also check out the Least Common Multiple of 10585 and 10591