What is the Greatest Common Factor of 10585 and 10598?

Greatest common factor (GCF) of 10585 and 10598 is 1.

GCF(10585,10598) = 1

We will now calculate the prime factors of 10585 and 10598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10585 and 10598.

How to find the GCF of 10585 and 10598?

We will first find the prime factorization of 10585 and 10598. After we will calculate the factors of 10585 and 10598 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 10598

Prime factors of 10598 are 2, 7, 757. Prime factorization of 10598 in exponential form is:

10598 = 2¹ × 7¹ × 757¹

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 10598

List of positive integer factors of 10598 that divides 10585 without a remainder.

1, 2, 7, 14, 757, 1514, 5299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10585 and 10598. The biggest common factor number is the GCF number.
So the greatest common factor 10585 and 10598 is 1.

Also check out the Least Common Multiple of 10585 and 10598