What is the Greatest Common Factor of 10460 and 10465?

Greatest common factor (GCF) of 10460 and 10465 is 5.

GCF(10460,10465) = 5

We will now calculate the prime factors of 10460 and 10465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10460 and 10465.

How to find the GCF of 10460 and 10465?

We will first find the prime factorization of 10460 and 10465. After we will calculate the factors of 10460 and 10465 and find the biggest common factor number .

Step-1: Prime Factorization of 10460

Prime factors of 10460 are 2, 5, 523. Prime factorization of 10460 in exponential form is:

10460 = 2² × 5¹ × 523¹

Step-2: Prime Factorization of 10465

Prime factors of 10465 are 5, 7, 13, 23. Prime factorization of 10465 in exponential form is:

10465 = 5¹ × 7¹ × 13¹ × 23¹

Step-3: Factors of 10460

List of positive integer factors of 10460 that divides 10460 without a remainder.

1, 2, 4, 5, 10, 20, 523, 1046, 2092, 2615, 5230

Step-4: Factors of 10465

List of positive integer factors of 10465 that divides 10460 without a remainder.

1, 5, 7, 13, 23, 35, 65, 91, 115, 161, 299, 455, 805, 1495, 2093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10460 and 10465. The biggest common factor number is the GCF number.
So the greatest common factor 10460 and 10465 is 5.

Also check out the Least Common Multiple of 10460 and 10465