What is the Greatest Common Factor of 53205 and 53220?

Greatest common factor (GCF) of 53205 and 53220 is 15.

GCF(53205,53220) = 15

We will now calculate the prime factors of 53205 and 53220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53205 and 53220.

How to find the GCF of 53205 and 53220?

We will first find the prime factorization of 53205 and 53220. After we will calculate the factors of 53205 and 53220 and find the biggest common factor number .

Step-1: Prime Factorization of 53205

Prime factors of 53205 are 3, 5, 3547. Prime factorization of 53205 in exponential form is:

53205 = 3¹ × 5¹ × 3547¹

Step-2: Prime Factorization of 53220

Prime factors of 53220 are 2, 3, 5, 887. Prime factorization of 53220 in exponential form is:

53220 = 2² × 3¹ × 5¹ × 887¹

Step-3: Factors of 53205

List of positive integer factors of 53205 that divides 53205 without a remainder.

1, 3, 5, 15, 3547, 10641, 17735

Step-4: Factors of 53220

List of positive integer factors of 53220 that divides 53205 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 887, 1774, 2661, 3548, 4435, 5322, 8870, 10644, 13305, 17740, 26610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53205 and 53220. The biggest common factor number is the GCF number.
So the greatest common factor 53205 and 53220 is 15.

Also check out the Least Common Multiple of 53205 and 53220