What is the Greatest Common Factor of 53190 and 53205?

Greatest common factor (GCF) of 53190 and 53205 is 15.

GCF(53190,53205) = 15

We will now calculate the prime factors of 53190 and 53205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53190 and 53205.

How to find the GCF of 53190 and 53205?

We will first find the prime factorization of 53190 and 53205. After we will calculate the factors of 53190 and 53205 and find the biggest common factor number .

Step-1: Prime Factorization of 53190

Prime factors of 53190 are 2, 3, 5, 197. Prime factorization of 53190 in exponential form is:

53190 = 2¹ × 3³ × 5¹ × 197¹

Step-2: 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-3: Factors of 53190

List of positive integer factors of 53190 that divides 53190 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 197, 270, 394, 591, 985, 1182, 1773, 1970, 2955, 3546, 5319, 5910, 8865, 10638, 17730, 26595

Step-4: Factors of 53205

List of positive integer factors of 53205 that divides 53190 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53190 and 53205. The biggest common factor number is the GCF number.
So the greatest common factor 53190 and 53205 is 15.

Also check out the Least Common Multiple of 53190 and 53205