What is the Greatest Common Factor of 52884 and 52898?

Greatest common factor (GCF) of 52884 and 52898 is 2.

GCF(52884,52898) = 2

We will now calculate the prime factors of 52884 and 52898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52884 and 52898.

How to find the GCF of 52884 and 52898?

We will first find the prime factorization of 52884 and 52898. After we will calculate the factors of 52884 and 52898 and find the biggest common factor number .

Step-1: Prime Factorization of 52884

Prime factors of 52884 are 2, 3, 13, 113. Prime factorization of 52884 in exponential form is:

52884 = 2² × 3² × 13¹ × 113¹

Step-2: Prime Factorization of 52898

Prime factors of 52898 are 2, 26449. Prime factorization of 52898 in exponential form is:

52898 = 2¹ × 26449¹

Step-3: Factors of 52884

List of positive integer factors of 52884 that divides 52884 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 113, 117, 156, 226, 234, 339, 452, 468, 678, 1017, 1356, 1469, 2034, 2938, 4068, 4407, 5876, 8814, 13221, 17628, 26442

Step-4: Factors of 52898

List of positive integer factors of 52898 that divides 52884 without a remainder.

1, 2, 26449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52884 and 52898. The biggest common factor number is the GCF number.
So the greatest common factor 52884 and 52898 is 2.

Also check out the Least Common Multiple of 52884 and 52898