What is the Greatest Common Factor of 63021 and 63037?

Greatest common factor (GCF) of 63021 and 63037 is 1.

GCF(63021,63037) = 1

We will now calculate the prime factors of 63021 and 63037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63021 and 63037.

How to find the GCF of 63021 and 63037?

We will first find the prime factorization of 63021 and 63037. After we will calculate the factors of 63021 and 63037 and find the biggest common factor number .

Step-1: Prime Factorization of 63021

Prime factors of 63021 are 3, 7, 3001. Prime factorization of 63021 in exponential form is:

63021 = 3¹ × 7¹ × 3001¹

Step-2: Prime Factorization of 63037

Prime factors of 63037 are 13, 373. Prime factorization of 63037 in exponential form is:

63037 = 13² × 373¹

Step-3: Factors of 63021

List of positive integer factors of 63021 that divides 63021 without a remainder.

1, 3, 7, 21, 3001, 9003, 21007

Step-4: Factors of 63037

List of positive integer factors of 63037 that divides 63021 without a remainder.

1, 13, 169, 373, 4849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63021 and 63037. The biggest common factor number is the GCF number.
So the greatest common factor 63021 and 63037 is 1.

Also check out the Least Common Multiple of 63021 and 63037