What is the Greatest Common Factor of 53204 and 53217?

Greatest common factor (GCF) of 53204 and 53217 is 1.

GCF(53204,53217) = 1

We will now calculate the prime factors of 53204 and 53217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53204 and 53217.

How to find the GCF of 53204 and 53217?

We will first find the prime factorization of 53204 and 53217. After we will calculate the factors of 53204 and 53217 and find the biggest common factor number .

Step-1: Prime Factorization of 53204

Prime factors of 53204 are 2, 47, 283. Prime factorization of 53204 in exponential form is:

53204 = 2² × 47¹ × 283¹

Step-2: Prime Factorization of 53217

Prime factors of 53217 are 3, 73. Prime factorization of 53217 in exponential form is:

53217 = 3⁶ × 73¹

Step-3: Factors of 53204

List of positive integer factors of 53204 that divides 53204 without a remainder.

1, 2, 4, 47, 94, 188, 283, 566, 1132, 13301, 26602

Step-4: Factors of 53217

List of positive integer factors of 53217 that divides 53204 without a remainder.

1, 3, 9, 27, 73, 81, 219, 243, 657, 729, 1971, 5913, 17739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53204 and 53217. The biggest common factor number is the GCF number.
So the greatest common factor 53204 and 53217 is 1.

Also check out the Least Common Multiple of 53204 and 53217