What is the Greatest Common Factor of 15435 and 15450?

Greatest common factor (GCF) of 15435 and 15450 is 15.

GCF(15435,15450) = 15

We will now calculate the prime factors of 15435 and 15450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15435 and 15450.

How to find the GCF of 15435 and 15450?

We will first find the prime factorization of 15435 and 15450. After we will calculate the factors of 15435 and 15450 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 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 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 15450

List of positive integer factors of 15450 that divides 15435 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 15435 and 15450. The biggest common factor number is the GCF number.
So the greatest common factor 15435 and 15450 is 15.

Also check out the Least Common Multiple of 15435 and 15450