What is the Greatest Common Factor of 15438 and 15450?

Greatest common factor (GCF) of 15438 and 15450 is 6.

GCF(15438,15450) = 6

We will now calculate the prime factors of 15438 and 15450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15438 and 15450.

How to find the GCF of 15438 and 15450?

We will first find the prime factorization of 15438 and 15450. After we will calculate the factors of 15438 and 15450 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 15450

Prime factors of 15450 are 2, 3, 5, 103. Prime factorization of 15450 in exponential form is:

15450 = 2¹ × 3¹ × 5² × 103¹

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 15450

List of positive integer factors of 15450 that divides 15438 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 103, 150, 206, 309, 515, 618, 1030, 1545, 2575, 3090, 5150, 7725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15438 and 15450. The biggest common factor number is the GCF number.
So the greatest common factor 15438 and 15450 is 6.

Also check out the Least Common Multiple of 15438 and 15450