What is the Greatest Common Factor of 15428 and 15442?

Greatest common factor (GCF) of 15428 and 15442 is 14.

GCF(15428,15442) = 14

We will now calculate the prime factors of 15428 and 15442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15428 and 15442.

How to find the GCF of 15428 and 15442?

We will first find the prime factorization of 15428 and 15442. After we will calculate the factors of 15428 and 15442 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 15442

Prime factors of 15442 are 2, 7, 1103. Prime factorization of 15442 in exponential form is:

15442 = 2¹ × 7¹ × 1103¹

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 15442

List of positive integer factors of 15442 that divides 15428 without a remainder.

1, 2, 7, 14, 1103, 2206, 7721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15428 and 15442. The biggest common factor number is the GCF number.
So the greatest common factor 15428 and 15442 is 14.

Also check out the Least Common Multiple of 15428 and 15442