What is the Greatest Common Factor of 53204 and 53218?

Greatest common factor (GCF) of 53204 and 53218 is 2.

GCF(53204,53218) = 2

We will now calculate the prime factors of 53204 and 53218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53204 and 53218.

How to find the GCF of 53204 and 53218?

We will first find the prime factorization of 53204 and 53218. After we will calculate the factors of 53204 and 53218 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 53218

Prime factors of 53218 are 2, 11, 41, 59. Prime factorization of 53218 in exponential form is:

53218 = 2¹ × 11¹ × 41¹ × 59¹

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 53218

List of positive integer factors of 53218 that divides 53204 without a remainder.

1, 2, 11, 22, 41, 59, 82, 118, 451, 649, 902, 1298, 2419, 4838, 26609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53204 and 53218. The biggest common factor number is the GCF number.
So the greatest common factor 53204 and 53218 is 2.

Also check out the Least Common Multiple of 53204 and 53218