What is the Greatest Common Factor of 63036 and 63053?

Greatest common factor (GCF) of 63036 and 63053 is 17.

GCF(63036,63053) = 17

We will now calculate the prime factors of 63036 and 63053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63036 and 63053.

How to find the GCF of 63036 and 63053?

We will first find the prime factorization of 63036 and 63053. After we will calculate the factors of 63036 and 63053 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 63053

Prime factors of 63053 are 17, 3709. Prime factorization of 63053 in exponential form is:

63053 = 17¹ × 3709¹

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 63053

List of positive integer factors of 63053 that divides 63036 without a remainder.

1, 17, 3709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63036 and 63053. The biggest common factor number is the GCF number.
So the greatest common factor 63036 and 63053 is 17.

Also check out the Least Common Multiple of 63036 and 63053