What is the Greatest Common Factor of 62985 and 63004?

Greatest common factor (GCF) of 62985 and 63004 is 19.

GCF(62985,63004) = 19

We will now calculate the prime factors of 62985 and 63004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62985 and 63004.

How to find the GCF of 62985 and 63004?

We will first find the prime factorization of 62985 and 63004. After we will calculate the factors of 62985 and 63004 and find the biggest common factor number .

Step-1: Prime Factorization of 62985

Prime factors of 62985 are 3, 5, 13, 17, 19. Prime factorization of 62985 in exponential form is:

62985 = 3¹ × 5¹ × 13¹ × 17¹ × 19¹

Step-2: 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-3: Factors of 62985

List of positive integer factors of 62985 that divides 62985 without a remainder.

1, 3, 5, 13, 15, 17, 19, 39, 51, 57, 65, 85, 95, 195, 221, 247, 255, 285, 323, 663, 741, 969, 1105, 1235, 1615, 3315, 3705, 4199, 4845, 12597, 20995

Step-4: Factors of 63004

List of positive integer factors of 63004 that divides 62985 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62985 and 63004. The biggest common factor number is the GCF number.
So the greatest common factor 62985 and 63004 is 19.

Also check out the Least Common Multiple of 62985 and 63004