What is the Greatest Common Factor of 15428 and 15438?

Greatest common factor (GCF) of 15428 and 15438 is 2.

GCF(15428,15438) = 2

We will now calculate the prime factors of 15428 and 15438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15428 and 15438.

How to find the GCF of 15428 and 15438?

We will first find the prime factorization of 15428 and 15438. After we will calculate the factors of 15428 and 15438 and find the biggest common factor number .

Step-1: Prime Factorization of 15428

Prime factors of 15428 are 2, 7, 19, 29. Prime factorization of 15428 in exponential form is:

15428 = 2² × 7¹ × 19¹ × 29¹

Step-2: 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-3: Factors of 15428

List of positive integer factors of 15428 that divides 15428 without a remainder.

1, 2, 4, 7, 14, 19, 28, 29, 38, 58, 76, 116, 133, 203, 266, 406, 532, 551, 812, 1102, 2204, 3857, 7714

Step-4: Factors of 15438

List of positive integer factors of 15438 that divides 15428 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15428 and 15438. The biggest common factor number is the GCF number.
So the greatest common factor 15428 and 15438 is 2.

Also check out the Least Common Multiple of 15428 and 15438