What is the Greatest Common Factor of 53298 and 53304?

Greatest common factor (GCF) of 53298 and 53304 is 6.

GCF(53298,53304) = 6

We will now calculate the prime factors of 53298 and 53304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53298 and 53304.

How to find the GCF of 53298 and 53304?

We will first find the prime factorization of 53298 and 53304. After we will calculate the factors of 53298 and 53304 and find the biggest common factor number .

Step-1: Prime Factorization of 53298

Prime factors of 53298 are 2, 3, 7, 47. Prime factorization of 53298 in exponential form is:

53298 = 2¹ × 3⁴ × 7¹ × 47¹

Step-2: Prime Factorization of 53304

Prime factors of 53304 are 2, 3, 2221. Prime factorization of 53304 in exponential form is:

53304 = 2³ × 3¹ × 2221¹

Step-3: Factors of 53298

List of positive integer factors of 53298 that divides 53298 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 47, 54, 63, 81, 94, 126, 141, 162, 189, 282, 329, 378, 423, 567, 658, 846, 987, 1134, 1269, 1974, 2538, 2961, 3807, 5922, 7614, 8883, 17766, 26649

Step-4: Factors of 53304

List of positive integer factors of 53304 that divides 53298 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2221, 4442, 6663, 8884, 13326, 17768, 26652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53298 and 53304. The biggest common factor number is the GCF number.
So the greatest common factor 53298 and 53304 is 6.

Also check out the Least Common Multiple of 53298 and 53304