What is the Greatest Common Factor of 15438 and 15451?

Greatest common factor (GCF) of 15438 and 15451 is 1.

GCF(15438,15451) = 1

We will now calculate the prime factors of 15438 and 15451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15438 and 15451.

How to find the GCF of 15438 and 15451?

We will first find the prime factorization of 15438 and 15451. After we will calculate the factors of 15438 and 15451 and find the biggest common factor number .

Step-1: Prime Factorization of 15438

Prime factors of 15438 are 2, 3, 31, 83. Prime factorization of 15438 in exponential form is:

15438 = 2¹ × 3¹ × 31¹ × 83¹

Step-2: Prime Factorization of 15451

Prime factors of 15451 are 15451. Prime factorization of 15451 in exponential form is:

15451 = 15451¹

Step-3: Factors of 15438

List of positive integer factors of 15438 that divides 15438 without a remainder.

1, 2, 3, 6, 31, 62, 83, 93, 166, 186, 249, 498, 2573, 5146, 7719

Step-4: Factors of 15451

List of positive integer factors of 15451 that divides 15438 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15438 and 15451. The biggest common factor number is the GCF number.
So the greatest common factor 15438 and 15451 is 1.

Also check out the Least Common Multiple of 15438 and 15451