What is the Greatest Common Factor of 63004 and 63008?

Greatest common factor (GCF) of 63004 and 63008 is 4.

GCF(63004,63008) = 4

We will now calculate the prime factors of 63004 and 63008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63004 and 63008.

How to find the GCF of 63004 and 63008?

We will first find the prime factorization of 63004 and 63008. After we will calculate the factors of 63004 and 63008 and find the biggest common factor number .

Step-1: Prime Factorization of 63004

Prime factors of 63004 are 2, 19, 829. Prime factorization of 63004 in exponential form is:

63004 = 2² × 19¹ × 829¹

Step-2: Prime Factorization of 63008

Prime factors of 63008 are 2, 11, 179. Prime factorization of 63008 in exponential form is:

63008 = 2⁵ × 11¹ × 179¹

Step-3: Factors of 63004

List of positive integer factors of 63004 that divides 63004 without a remainder.

1, 2, 4, 19, 38, 76, 829, 1658, 3316, 15751, 31502

Step-4: Factors of 63008

List of positive integer factors of 63008 that divides 63004 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 179, 352, 358, 716, 1432, 1969, 2864, 3938, 5728, 7876, 15752, 31504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63004 and 63008. The biggest common factor number is the GCF number.
So the greatest common factor 63004 and 63008 is 4.

Also check out the Least Common Multiple of 63004 and 63008