What is the Greatest Common Factor of 53205 and 53213?

Greatest common factor (GCF) of 53205 and 53213 is 1.

GCF(53205,53213) = 1

We will now calculate the prime factors of 53205 and 53213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53205 and 53213.

How to find the GCF of 53205 and 53213?

We will first find the prime factorization of 53205 and 53213. After we will calculate the factors of 53205 and 53213 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 53213

Prime factors of 53213 are 127, 419. Prime factorization of 53213 in exponential form is:

53213 = 127¹ × 419¹

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 53213

List of positive integer factors of 53213 that divides 53205 without a remainder.

1, 127, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53205 and 53213. The biggest common factor number is the GCF number.
So the greatest common factor 53205 and 53213 is 1.

Also check out the Least Common Multiple of 53205 and 53213