What is the Greatest Common Factor of 63019 and 63036?

Greatest common factor (GCF) of 63019 and 63036 is 17.

GCF(63019,63036) = 17

We will now calculate the prime factors of 63019 and 63036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63019 and 63036.

How to find the GCF of 63019 and 63036?

We will first find the prime factorization of 63019 and 63036. After we will calculate the factors of 63019 and 63036 and find the biggest common factor number .

Step-1: Prime Factorization of 63019

Prime factors of 63019 are 11, 17, 337. Prime factorization of 63019 in exponential form is:

63019 = 11¹ × 17¹ × 337¹

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 63019

List of positive integer factors of 63019 that divides 63019 without a remainder.

1, 11, 17, 187, 337, 3707, 5729

Step-4: Factors of 63036

List of positive integer factors of 63036 that divides 63019 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 63019 and 63036. The biggest common factor number is the GCF number.
So the greatest common factor 63019 and 63036 is 17.

Also check out the Least Common Multiple of 63019 and 63036