What is the Greatest Common Factor of 15465 and 15481?

Greatest common factor (GCF) of 15465 and 15481 is 1.

GCF(15465,15481) = 1

We will now calculate the prime factors of 15465 and 15481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15465 and 15481.

How to find the GCF of 15465 and 15481?

We will first find the prime factorization of 15465 and 15481. After we will calculate the factors of 15465 and 15481 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 15481

Prime factors of 15481 are 113, 137. Prime factorization of 15481 in exponential form is:

15481 = 113¹ × 137¹

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 15481

List of positive integer factors of 15481 that divides 15465 without a remainder.

1, 113, 137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15465 and 15481. The biggest common factor number is the GCF number.
So the greatest common factor 15465 and 15481 is 1.

Also check out the Least Common Multiple of 15465 and 15481