What is the Greatest Common Factor of 15460 and 15467?

Greatest common factor (GCF) of 15460 and 15467 is 1.

GCF(15460,15467) = 1

We will now calculate the prime factors of 15460 and 15467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15460 and 15467.

How to find the GCF of 15460 and 15467?

We will first find the prime factorization of 15460 and 15467. After we will calculate the factors of 15460 and 15467 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 15467

Prime factors of 15467 are 15467. Prime factorization of 15467 in exponential form is:

15467 = 15467¹

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 15467

List of positive integer factors of 15467 that divides 15460 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15460 and 15467. The biggest common factor number is the GCF number.
So the greatest common factor 15460 and 15467 is 1.

Also check out the Least Common Multiple of 15460 and 15467