What is the Greatest Common Factor of 52988 and 53001?

Greatest common factor (GCF) of 52988 and 53001 is 13.

GCF(52988,53001) = 13

We will now calculate the prime factors of 52988 and 53001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52988 and 53001.

How to find the GCF of 52988 and 53001?

We will first find the prime factorization of 52988 and 53001. After we will calculate the factors of 52988 and 53001 and find the biggest common factor number .

Step-1: Prime Factorization of 52988

Prime factors of 52988 are 2, 13, 1019. Prime factorization of 52988 in exponential form is:

52988 = 2² × 13¹ × 1019¹

Step-2: Prime Factorization of 53001

Prime factors of 53001 are 3, 13, 151. Prime factorization of 53001 in exponential form is:

53001 = 3³ × 13¹ × 151¹

Step-3: Factors of 52988

List of positive integer factors of 52988 that divides 52988 without a remainder.

1, 2, 4, 13, 26, 52, 1019, 2038, 4076, 13247, 26494

Step-4: Factors of 53001

List of positive integer factors of 53001 that divides 52988 without a remainder.

1, 3, 9, 13, 27, 39, 117, 151, 351, 453, 1359, 1963, 4077, 5889, 17667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52988 and 53001. The biggest common factor number is the GCF number.
So the greatest common factor 52988 and 53001 is 13.

Also check out the Least Common Multiple of 52988 and 53001