What is the Greatest Common Factor of 63021 and 63036?

Greatest common factor (GCF) of 63021 and 63036 is 3.

GCF(63021,63036) = 3

We will now calculate the prime factors of 63021 and 63036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63021 and 63036.

How to find the GCF of 63021 and 63036?

We will first find the prime factorization of 63021 and 63036. After we will calculate the factors of 63021 and 63036 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 63036

Prime factors of 63036 are 2, 3, 17, 103. Prime factorization of 63036 in exponential form is:

63036 = 2² × 3² × 17¹ × 103¹

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 63036

List of positive integer factors of 63036 that divides 63021 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 103, 153, 204, 206, 306, 309, 412, 612, 618, 927, 1236, 1751, 1854, 3502, 3708, 5253, 7004, 10506, 15759, 21012, 31518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63021 and 63036. The biggest common factor number is the GCF number.
So the greatest common factor 63021 and 63036 is 3.

Also check out the Least Common Multiple of 63021 and 63036