What is the Greatest Common Factor of 10475 and 10480?

Greatest common factor (GCF) of 10475 and 10480 is 5.

GCF(10475,10480) = 5

We will now calculate the prime factors of 10475 and 10480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10475 and 10480.

How to find the GCF of 10475 and 10480?

We will first find the prime factorization of 10475 and 10480. After we will calculate the factors of 10475 and 10480 and find the biggest common factor number .

Step-1: Prime Factorization of 10475

Prime factors of 10475 are 5, 419. Prime factorization of 10475 in exponential form is:

10475 = 5² × 419¹

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 10475

List of positive integer factors of 10475 that divides 10475 without a remainder.

1, 5, 25, 419, 2095

Step-4: Factors of 10480

List of positive integer factors of 10480 that divides 10475 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 10475 and 10480. The biggest common factor number is the GCF number.
So the greatest common factor 10475 and 10480 is 5.

Also check out the Least Common Multiple of 10475 and 10480