What is the Greatest Common Factor of 15409 and 15428?

Greatest common factor (GCF) of 15409 and 15428 is 19.

GCF(15409,15428) = 19

We will now calculate the prime factors of 15409 and 15428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15409 and 15428.

How to find the GCF of 15409 and 15428?

We will first find the prime factorization of 15409 and 15428. After we will calculate the factors of 15409 and 15428 and find the biggest common factor number .

Step-1: Prime Factorization of 15409

Prime factors of 15409 are 19, 811. Prime factorization of 15409 in exponential form is:

15409 = 19¹ × 811¹

Step-2: 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-3: Factors of 15409

List of positive integer factors of 15409 that divides 15409 without a remainder.

1, 19, 811

Step-4: Factors of 15428

List of positive integer factors of 15428 that divides 15409 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15409 and 15428. The biggest common factor number is the GCF number.
So the greatest common factor 15409 and 15428 is 19.

Also check out the Least Common Multiple of 15409 and 15428