What is the Greatest Common Factor of 53145 and 53160?

Greatest common factor (GCF) of 53145 and 53160 is 15.

GCF(53145,53160) = 15

We will now calculate the prime factors of 53145 and 53160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53145 and 53160.

How to find the GCF of 53145 and 53160?

We will first find the prime factorization of 53145 and 53160. After we will calculate the factors of 53145 and 53160 and find the biggest common factor number .

Step-1: Prime Factorization of 53145

Prime factors of 53145 are 3, 5, 1181. Prime factorization of 53145 in exponential form is:

53145 = 3² × 5¹ × 1181¹

Step-2: Prime Factorization of 53160

Prime factors of 53160 are 2, 3, 5, 443. Prime factorization of 53160 in exponential form is:

53160 = 2³ × 3¹ × 5¹ × 443¹

Step-3: Factors of 53145

List of positive integer factors of 53145 that divides 53145 without a remainder.

1, 3, 5, 9, 15, 45, 1181, 3543, 5905, 10629, 17715

Step-4: Factors of 53160

List of positive integer factors of 53160 that divides 53145 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 443, 886, 1329, 1772, 2215, 2658, 3544, 4430, 5316, 6645, 8860, 10632, 13290, 17720, 26580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53145 and 53160. The biggest common factor number is the GCF number.
So the greatest common factor 53145 and 53160 is 15.

Also check out the Least Common Multiple of 53145 and 53160