What is the Greatest Common Factor of 52989 and 53005?

Greatest common factor (GCF) of 52989 and 53005 is 1.

GCF(52989,53005) = 1

We will now calculate the prime factors of 52989 and 53005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52989 and 53005.

How to find the GCF of 52989 and 53005?

We will first find the prime factorization of 52989 and 53005. After we will calculate the factors of 52989 and 53005 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 53005

Prime factors of 53005 are 5, 10601. Prime factorization of 53005 in exponential form is:

53005 = 5¹ × 10601¹

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 53005

List of positive integer factors of 53005 that divides 52989 without a remainder.

1, 5, 10601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52989 and 53005. The biggest common factor number is the GCF number.
So the greatest common factor 52989 and 53005 is 1.

Also check out the Least Common Multiple of 52989 and 53005