What is the Greatest Common Factor of 10465 and 10480?

Greatest common factor (GCF) of 10465 and 10480 is 5.

GCF(10465,10480) = 5

We will now calculate the prime factors of 10465 and 10480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10465 and 10480.

How to find the GCF of 10465 and 10480?

We will first find the prime factorization of 10465 and 10480. After we will calculate the factors of 10465 and 10480 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10480

Prime factors of 10480 are 2, 5, 131. Prime factorization of 10480 in exponential form is:

10480 = 2⁴ × 5¹ × 131¹

Step-3: Factors of 10465

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

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

Step-4: Factors of 10480

List of positive integer factors of 10480 that divides 10465 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 131, 262, 524, 655, 1048, 1310, 2096, 2620, 5240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10465 and 10480. The biggest common factor number is the GCF number.
So the greatest common factor 10465 and 10480 is 5.

Also check out the Least Common Multiple of 10465 and 10480