What is the Greatest Common Factor of 53289 and 53298?

Greatest common factor (GCF) of 53289 and 53298 is 9.

GCF(53289,53298) = 9

We will now calculate the prime factors of 53289 and 53298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53289 and 53298.

How to find the GCF of 53289 and 53298?

We will first find the prime factorization of 53289 and 53298. After we will calculate the factors of 53289 and 53298 and find the biggest common factor number .

Step-1: Prime Factorization of 53289

Prime factors of 53289 are 3, 31, 191. Prime factorization of 53289 in exponential form is:

53289 = 3² × 31¹ × 191¹

Step-2: 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-3: Factors of 53289

List of positive integer factors of 53289 that divides 53289 without a remainder.

1, 3, 9, 31, 93, 191, 279, 573, 1719, 5921, 17763

Step-4: Factors of 53298

List of positive integer factors of 53298 that divides 53289 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53289 and 53298. The biggest common factor number is the GCF number.
So the greatest common factor 53289 and 53298 is 9.

Also check out the Least Common Multiple of 53289 and 53298