What is the Greatest Common Factor of 63036 and 63044?

Greatest common factor (GCF) of 63036 and 63044 is 4.

GCF(63036,63044) = 4

We will now calculate the prime factors of 63036 and 63044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63036 and 63044.

How to find the GCF of 63036 and 63044?

We will first find the prime factorization of 63036 and 63044. After we will calculate the factors of 63036 and 63044 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63044

Prime factors of 63044 are 2, 15761. Prime factorization of 63044 in exponential form is:

63044 = 2² × 15761¹

Step-3: Factors of 63036

List of positive integer factors of 63036 that divides 63036 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

Step-4: Factors of 63044

List of positive integer factors of 63044 that divides 63036 without a remainder.

1, 2, 4, 15761, 31522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63036 and 63044. The biggest common factor number is the GCF number.
So the greatest common factor 63036 and 63044 is 4.

Also check out the Least Common Multiple of 63036 and 63044