What is the Greatest Common Factor of 53298 and 53307?

Greatest common factor (GCF) of 53298 and 53307 is 9.

GCF(53298,53307) = 9

We will now calculate the prime factors of 53298 and 53307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53298 and 53307.

How to find the GCF of 53298 and 53307?

We will first find the prime factorization of 53298 and 53307. After we will calculate the factors of 53298 and 53307 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 53307

Prime factors of 53307 are 3, 5923. Prime factorization of 53307 in exponential form is:

53307 = 3² × 5923¹

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 53307

List of positive integer factors of 53307 that divides 53298 without a remainder.

1, 3, 9, 5923, 17769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53298 and 53307. The biggest common factor number is the GCF number.
So the greatest common factor 53298 and 53307 is 9.

Also check out the Least Common Multiple of 53298 and 53307