What is the Greatest Common Factor of 10485 and 10497?

Greatest common factor (GCF) of 10485 and 10497 is 3.

GCF(10485,10497) = 3

We will now calculate the prime factors of 10485 and 10497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10485 and 10497.

How to find the GCF of 10485 and 10497?

We will first find the prime factorization of 10485 and 10497. After we will calculate the factors of 10485 and 10497 and find the biggest common factor number .

Step-1: Prime Factorization of 10485

Prime factors of 10485 are 3, 5, 233. Prime factorization of 10485 in exponential form is:

10485 = 3² × 5¹ × 233¹

Step-2: Prime Factorization of 10497

Prime factors of 10497 are 3, 3499. Prime factorization of 10497 in exponential form is:

10497 = 3¹ × 3499¹

Step-3: Factors of 10485

List of positive integer factors of 10485 that divides 10485 without a remainder.

1, 3, 5, 9, 15, 45, 233, 699, 1165, 2097, 3495

Step-4: Factors of 10497

List of positive integer factors of 10497 that divides 10485 without a remainder.

1, 3, 3499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10485 and 10497. The biggest common factor number is the GCF number.
So the greatest common factor 10485 and 10497 is 3.

Also check out the Least Common Multiple of 10485 and 10497