What is the Greatest Common Factor of 15429 and 15437?

Greatest common factor (GCF) of 15429 and 15437 is 1.

GCF(15429,15437) = 1

We will now calculate the prime factors of 15429 and 15437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15429 and 15437.

How to find the GCF of 15429 and 15437?

We will first find the prime factorization of 15429 and 15437. After we will calculate the factors of 15429 and 15437 and find the biggest common factor number .

Step-1: Prime Factorization of 15429

Prime factors of 15429 are 3, 37, 139. Prime factorization of 15429 in exponential form is:

15429 = 3¹ × 37¹ × 139¹

Step-2: Prime Factorization of 15437

Prime factors of 15437 are 43, 359. Prime factorization of 15437 in exponential form is:

15437 = 43¹ × 359¹

Step-3: Factors of 15429

List of positive integer factors of 15429 that divides 15429 without a remainder.

1, 3, 37, 111, 139, 417, 5143

Step-4: Factors of 15437

List of positive integer factors of 15437 that divides 15429 without a remainder.

1, 43, 359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15429 and 15437. The biggest common factor number is the GCF number.
So the greatest common factor 15429 and 15437 is 1.

Also check out the Least Common Multiple of 15429 and 15437