What is the Greatest Common Factor of 63002 and 63019?

Greatest common factor (GCF) of 63002 and 63019 is 17.

GCF(63002,63019) = 17

We will now calculate the prime factors of 63002 and 63019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63002 and 63019.

How to find the GCF of 63002 and 63019?

We will first find the prime factorization of 63002 and 63019. After we will calculate the factors of 63002 and 63019 and find the biggest common factor number .

Step-1: Prime Factorization of 63002

Prime factors of 63002 are 2, 17, 109. Prime factorization of 63002 in exponential form is:

63002 = 2¹ × 17² × 109¹

Step-2: 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-3: Factors of 63002

List of positive integer factors of 63002 that divides 63002 without a remainder.

1, 2, 17, 34, 109, 218, 289, 578, 1853, 3706, 31501

Step-4: Factors of 63019

List of positive integer factors of 63019 that divides 63002 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63002 and 63019. The biggest common factor number is the GCF number.
So the greatest common factor 63002 and 63019 is 17.

Also check out the Least Common Multiple of 63002 and 63019