What is the Greatest Common Factor of 53415 and 53430?

Greatest common factor (GCF) of 53415 and 53430 is 15.

GCF(53415,53430) = 15

We will now calculate the prime factors of 53415 and 53430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53415 and 53430.

How to find the GCF of 53415 and 53430?

We will first find the prime factorization of 53415 and 53430. After we will calculate the factors of 53415 and 53430 and find the biggest common factor number .

Step-1: Prime Factorization of 53415

Prime factors of 53415 are 3, 5, 1187. Prime factorization of 53415 in exponential form is:

53415 = 3² × 5¹ × 1187¹

Step-2: Prime Factorization of 53430

Prime factors of 53430 are 2, 3, 5, 13, 137. Prime factorization of 53430 in exponential form is:

53430 = 2¹ × 3¹ × 5¹ × 13¹ × 137¹

Step-3: Factors of 53415

List of positive integer factors of 53415 that divides 53415 without a remainder.

1, 3, 5, 9, 15, 45, 1187, 3561, 5935, 10683, 17805

Step-4: Factors of 53430

List of positive integer factors of 53430 that divides 53415 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 137, 195, 274, 390, 411, 685, 822, 1370, 1781, 2055, 3562, 4110, 5343, 8905, 10686, 17810, 26715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53415 and 53430. The biggest common factor number is the GCF number.
So the greatest common factor 53415 and 53430 is 15.

Also check out the Least Common Multiple of 53415 and 53430