What is the Greatest Common Factor of 15457 and 15463?

Greatest common factor (GCF) of 15457 and 15463 is 1.

GCF(15457,15463) = 1

We will now calculate the prime factors of 15457 and 15463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15457 and 15463.

How to find the GCF of 15457 and 15463?

We will first find the prime factorization of 15457 and 15463. After we will calculate the factors of 15457 and 15463 and find the biggest common factor number .

Step-1: Prime Factorization of 15457

Prime factors of 15457 are 13, 29, 41. Prime factorization of 15457 in exponential form is:

15457 = 13¹ × 29¹ × 41¹

Step-2: Prime Factorization of 15463

Prime factors of 15463 are 7, 47. Prime factorization of 15463 in exponential form is:

15463 = 7¹ × 47²

Step-3: Factors of 15457

List of positive integer factors of 15457 that divides 15457 without a remainder.

1, 13, 29, 41, 377, 533, 1189

Step-4: Factors of 15463

List of positive integer factors of 15463 that divides 15457 without a remainder.

1, 7, 47, 329, 2209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15457 and 15463. The biggest common factor number is the GCF number.
So the greatest common factor 15457 and 15463 is 1.

Also check out the Least Common Multiple of 15457 and 15463