What is the Greatest Common Factor of 10604 and 10610?

Greatest common factor (GCF) of 10604 and 10610 is 2.

GCF(10604,10610) = 2

We will now calculate the prime factors of 10604 and 10610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10604 and 10610.

How to find the GCF of 10604 and 10610?

We will first find the prime factorization of 10604 and 10610. After we will calculate the factors of 10604 and 10610 and find the biggest common factor number .

Step-1: Prime Factorization of 10604

Prime factors of 10604 are 2, 11, 241. Prime factorization of 10604 in exponential form is:

10604 = 2² × 11¹ × 241¹

Step-2: Prime Factorization of 10610

Prime factors of 10610 are 2, 5, 1061. Prime factorization of 10610 in exponential form is:

10610 = 2¹ × 5¹ × 1061¹

Step-3: Factors of 10604

List of positive integer factors of 10604 that divides 10604 without a remainder.

1, 2, 4, 11, 22, 44, 241, 482, 964, 2651, 5302

Step-4: Factors of 10610

List of positive integer factors of 10610 that divides 10604 without a remainder.

1, 2, 5, 10, 1061, 2122, 5305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10604 and 10610. The biggest common factor number is the GCF number.
So the greatest common factor 10604 and 10610 is 2.

Also check out the Least Common Multiple of 10604 and 10610