What is the Greatest Common Factor of 53007 and 53021?

Greatest common factor (GCF) of 53007 and 53021 is 1.

GCF(53007,53021) = 1

We will now calculate the prime factors of 53007 and 53021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53007 and 53021.

How to find the GCF of 53007 and 53021?

We will first find the prime factorization of 53007 and 53021. After we will calculate the factors of 53007 and 53021 and find the biggest common factor number .

Step-1: Prime Factorization of 53007

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

53007 = 3¹ × 17669¹

Step-2: Prime Factorization of 53021

Prime factors of 53021 are 37, 1433. Prime factorization of 53021 in exponential form is:

53021 = 37¹ × 1433¹

Step-3: Factors of 53007

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

1, 3, 17669

Step-4: Factors of 53021

List of positive integer factors of 53021 that divides 53007 without a remainder.

1, 37, 1433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53007 and 53021. The biggest common factor number is the GCF number.
So the greatest common factor 53007 and 53021 is 1.

Also check out the Least Common Multiple of 53007 and 53021