What is the Greatest Common Factor of 53160 and 53170?

Greatest common factor (GCF) of 53160 and 53170 is 10.

GCF(53160,53170) = 10

We will now calculate the prime factors of 53160 and 53170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53160 and 53170.

How to find the GCF of 53160 and 53170?

We will first find the prime factorization of 53160 and 53170. After we will calculate the factors of 53160 and 53170 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53170

Prime factors of 53170 are 2, 5, 13, 409. Prime factorization of 53170 in exponential form is:

53170 = 2¹ × 5¹ × 13¹ × 409¹

Step-3: Factors of 53160

List of positive integer factors of 53160 that divides 53160 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

Step-4: Factors of 53170

List of positive integer factors of 53170 that divides 53160 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 409, 818, 2045, 4090, 5317, 10634, 26585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53160 and 53170. The biggest common factor number is the GCF number.
So the greatest common factor 53160 and 53170 is 10.

Also check out the Least Common Multiple of 53160 and 53170