What is the Greatest Common Factor of 15465 and 15485?

Greatest common factor (GCF) of 15465 and 15485 is 5.

GCF(15465,15485) = 5

We will now calculate the prime factors of 15465 and 15485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15465 and 15485.

How to find the GCF of 15465 and 15485?

We will first find the prime factorization of 15465 and 15485. After we will calculate the factors of 15465 and 15485 and find the biggest common factor number .

Step-1: Prime Factorization of 15465

Prime factors of 15465 are 3, 5, 1031. Prime factorization of 15465 in exponential form is:

15465 = 3¹ × 5¹ × 1031¹

Step-2: Prime Factorization of 15485

Prime factors of 15485 are 5, 19, 163. Prime factorization of 15485 in exponential form is:

15485 = 5¹ × 19¹ × 163¹

Step-3: Factors of 15465

List of positive integer factors of 15465 that divides 15465 without a remainder.

1, 3, 5, 15, 1031, 3093, 5155

Step-4: Factors of 15485

List of positive integer factors of 15485 that divides 15465 without a remainder.

1, 5, 19, 95, 163, 815, 3097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15465 and 15485. The biggest common factor number is the GCF number.
So the greatest common factor 15465 and 15485 is 5.

Also check out the Least Common Multiple of 15465 and 15485