What is the Greatest Common Factor of 10461 and 10470?

Greatest common factor (GCF) of 10461 and 10470 is 3.

GCF(10461,10470) = 3

We will now calculate the prime factors of 10461 and 10470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10461 and 10470.

How to find the GCF of 10461 and 10470?

We will first find the prime factorization of 10461 and 10470. After we will calculate the factors of 10461 and 10470 and find the biggest common factor number .

Step-1: Prime Factorization of 10461

Prime factors of 10461 are 3, 11, 317. Prime factorization of 10461 in exponential form is:

10461 = 3¹ × 11¹ × 317¹

Step-2: Prime Factorization of 10470

Prime factors of 10470 are 2, 3, 5, 349. Prime factorization of 10470 in exponential form is:

10470 = 2¹ × 3¹ × 5¹ × 349¹

Step-3: Factors of 10461

List of positive integer factors of 10461 that divides 10461 without a remainder.

1, 3, 11, 33, 317, 951, 3487

Step-4: Factors of 10470

List of positive integer factors of 10470 that divides 10461 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 349, 698, 1047, 1745, 2094, 3490, 5235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10461 and 10470. The biggest common factor number is the GCF number.
So the greatest common factor 10461 and 10470 is 3.

Also check out the Least Common Multiple of 10461 and 10470