What is the Greatest Common Factor of 52989 and 53008?

Greatest common factor (GCF) of 52989 and 53008 is 1.

GCF(52989,53008) = 1

We will now calculate the prime factors of 52989 and 53008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52989 and 53008.

How to find the GCF of 52989 and 53008?

We will first find the prime factorization of 52989 and 53008. After we will calculate the factors of 52989 and 53008 and find the biggest common factor number .

Step-1: Prime Factorization of 52989

Prime factors of 52989 are 3, 17, 1039. Prime factorization of 52989 in exponential form is:

52989 = 3¹ × 17¹ × 1039¹

Step-2: Prime Factorization of 53008

Prime factors of 53008 are 2, 3313. Prime factorization of 53008 in exponential form is:

53008 = 2⁴ × 3313¹

Step-3: Factors of 52989

List of positive integer factors of 52989 that divides 52989 without a remainder.

1, 3, 17, 51, 1039, 3117, 17663

Step-4: Factors of 53008

List of positive integer factors of 53008 that divides 52989 without a remainder.

1, 2, 4, 8, 16, 3313, 6626, 13252, 26504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52989 and 53008. The biggest common factor number is the GCF number.
So the greatest common factor 52989 and 53008 is 1.

Also check out the Least Common Multiple of 52989 and 53008