What is the Greatest Common Factor of 15460 and 15470?

Greatest common factor (GCF) of 15460 and 15470 is 10.

GCF(15460,15470) = 10

We will now calculate the prime factors of 15460 and 15470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15460 and 15470.

How to find the GCF of 15460 and 15470?

We will first find the prime factorization of 15460 and 15470. After we will calculate the factors of 15460 and 15470 and find the biggest common factor number .

Step-1: Prime Factorization of 15460

Prime factors of 15460 are 2, 5, 773. Prime factorization of 15460 in exponential form is:

15460 = 2² × 5¹ × 773¹

Step-2: Prime Factorization of 15470

Prime factors of 15470 are 2, 5, 7, 13, 17. Prime factorization of 15470 in exponential form is:

15470 = 2¹ × 5¹ × 7¹ × 13¹ × 17¹

Step-3: Factors of 15460

List of positive integer factors of 15460 that divides 15460 without a remainder.

1, 2, 4, 5, 10, 20, 773, 1546, 3092, 3865, 7730

Step-4: Factors of 15470

List of positive integer factors of 15470 that divides 15460 without a remainder.

1, 2, 5, 7, 10, 13, 14, 17, 26, 34, 35, 65, 70, 85, 91, 119, 130, 170, 182, 221, 238, 442, 455, 595, 910, 1105, 1190, 1547, 2210, 3094, 7735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15460 and 15470. The biggest common factor number is the GCF number.
So the greatest common factor 15460 and 15470 is 10.

Also check out the Least Common Multiple of 15460 and 15470