What is the Greatest Common Factor of 52995 and 53007?

Greatest common factor (GCF) of 52995 and 53007 is 3.

GCF(52995,53007) = 3

We will now calculate the prime factors of 52995 and 53007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52995 and 53007.

How to find the GCF of 52995 and 53007?

We will first find the prime factorization of 52995 and 53007. After we will calculate the factors of 52995 and 53007 and find the biggest common factor number .

Step-1: Prime Factorization of 52995

Prime factors of 52995 are 3, 5, 3533. Prime factorization of 52995 in exponential form is:

52995 = 3¹ × 5¹ × 3533¹

Step-2: Prime Factorization of 53007

Prime factors of 53007 are 3, 17669. Prime factorization of 53007 in exponential form is:

53007 = 3¹ × 17669¹

Step-3: Factors of 52995

List of positive integer factors of 52995 that divides 52995 without a remainder.

1, 3, 5, 15, 3533, 10599, 17665

Step-4: Factors of 53007

List of positive integer factors of 53007 that divides 52995 without a remainder.

1, 3, 17669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52995 and 53007. The biggest common factor number is the GCF number.
So the greatest common factor 52995 and 53007 is 3.

Also check out the Least Common Multiple of 52995 and 53007