What is the Greatest Common Factor of 11645 and 11650?

Greatest common factor (GCF) of 11645 and 11650 is 5.

GCF(11645,11650) = 5

We will now calculate the prime factors of 11645 and 11650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11645 and 11650.

How to find the GCF of 11645 and 11650?

We will first find the prime factorization of 11645 and 11650. After we will calculate the factors of 11645 and 11650 and find the biggest common factor number .

Step-1: Prime Factorization of 11645

Prime factors of 11645 are 5, 17, 137. Prime factorization of 11645 in exponential form is:

11645 = 5¹ × 17¹ × 137¹

Step-2: Prime Factorization of 11650

Prime factors of 11650 are 2, 5, 233. Prime factorization of 11650 in exponential form is:

11650 = 2¹ × 5² × 233¹

Step-3: Factors of 11645

List of positive integer factors of 11645 that divides 11645 without a remainder.

1, 5, 17, 85, 137, 685, 2329

Step-4: Factors of 11650

List of positive integer factors of 11650 that divides 11645 without a remainder.

1, 2, 5, 10, 25, 50, 233, 466, 1165, 2330, 5825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11645 and 11650. The biggest common factor number is the GCF number.
So the greatest common factor 11645 and 11650 is 5.

Also check out the Least Common Multiple of 11645 and 11650