What is the Greatest Common Factor of 52998 and 53016?

Greatest common factor (GCF) of 52998 and 53016 is 6.

GCF(52998,53016) = 6

We will now calculate the prime factors of 52998 and 53016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52998 and 53016.

How to find the GCF of 52998 and 53016?

We will first find the prime factorization of 52998 and 53016. After we will calculate the factors of 52998 and 53016 and find the biggest common factor number .

Step-1: Prime Factorization of 52998

Prime factors of 52998 are 2, 3, 11, 73. Prime factorization of 52998 in exponential form is:

52998 = 2¹ × 3¹ × 11² × 73¹

Step-2: Prime Factorization of 53016

Prime factors of 53016 are 2, 3, 47. Prime factorization of 53016 in exponential form is:

53016 = 2³ × 3¹ × 47²

Step-3: Factors of 52998

List of positive integer factors of 52998 that divides 52998 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 73, 121, 146, 219, 242, 363, 438, 726, 803, 1606, 2409, 4818, 8833, 17666, 26499

Step-4: Factors of 53016

List of positive integer factors of 53016 that divides 52998 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128, 2209, 4418, 6627, 8836, 13254, 17672, 26508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52998 and 53016. The biggest common factor number is the GCF number.
So the greatest common factor 52998 and 53016 is 6.

Also check out the Least Common Multiple of 52998 and 53016