What is the Greatest Common Factor of 15420 and 15435?

Greatest common factor (GCF) of 15420 and 15435 is 15.

GCF(15420,15435) = 15

We will now calculate the prime factors of 15420 and 15435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15420 and 15435.

How to find the GCF of 15420 and 15435?

We will first find the prime factorization of 15420 and 15435. After we will calculate the factors of 15420 and 15435 and find the biggest common factor number .

Step-1: Prime Factorization of 15420

Prime factors of 15420 are 2, 3, 5, 257. Prime factorization of 15420 in exponential form is:

15420 = 2² × 3¹ × 5¹ × 257¹

Step-2: 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-3: Factors of 15420

List of positive integer factors of 15420 that divides 15420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 257, 514, 771, 1028, 1285, 1542, 2570, 3084, 3855, 5140, 7710

Step-4: Factors of 15435

List of positive integer factors of 15435 that divides 15420 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15420 and 15435. The biggest common factor number is the GCF number.
So the greatest common factor 15420 and 15435 is 15.

Also check out the Least Common Multiple of 15420 and 15435