What is the Greatest Common Factor of 15435 and 15441?

Greatest common factor (GCF) of 15435 and 15441 is 3.

GCF(15435,15441) = 3

We will now calculate the prime factors of 15435 and 15441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15435 and 15441.

How to find the GCF of 15435 and 15441?

We will first find the prime factorization of 15435 and 15441. After we will calculate the factors of 15435 and 15441 and find the biggest common factor number .

Step-1: Prime Factorization of 15435

Prime factors of 15435 are 3, 5, 7. Prime factorization of 15435 in exponential form is:

15435 = 3² × 5¹ × 7³

Step-2: Prime Factorization of 15441

Prime factors of 15441 are 3, 5147. Prime factorization of 15441 in exponential form is:

15441 = 3¹ × 5147¹

Step-3: Factors of 15435

List of positive integer factors of 15435 that divides 15435 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 343, 441, 735, 1029, 1715, 2205, 3087, 5145

Step-4: Factors of 15441

List of positive integer factors of 15441 that divides 15435 without a remainder.

1, 3, 5147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15435 and 15441. The biggest common factor number is the GCF number.
So the greatest common factor 15435 and 15441 is 3.

Also check out the Least Common Multiple of 15435 and 15441