What is the Greatest Common Factor of 62997 and 63006?

Greatest common factor (GCF) of 62997 and 63006 is 3.

GCF(62997,63006) = 3

We will now calculate the prime factors of 62997 and 63006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62997 and 63006.

How to find the GCF of 62997 and 63006?

We will first find the prime factorization of 62997 and 63006. After we will calculate the factors of 62997 and 63006 and find the biggest common factor number .

Step-1: Prime Factorization of 62997

Prime factors of 62997 are 3, 11, 23, 83. Prime factorization of 62997 in exponential form is:

62997 = 3¹ × 11¹ × 23¹ × 83¹

Step-2: Prime Factorization of 63006

Prime factors of 63006 are 2, 3, 10501. Prime factorization of 63006 in exponential form is:

63006 = 2¹ × 3¹ × 10501¹

Step-3: Factors of 62997

List of positive integer factors of 62997 that divides 62997 without a remainder.

1, 3, 11, 23, 33, 69, 83, 249, 253, 759, 913, 1909, 2739, 5727, 20999

Step-4: Factors of 63006

List of positive integer factors of 63006 that divides 62997 without a remainder.

1, 2, 3, 6, 10501, 21002, 31503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62997 and 63006. The biggest common factor number is the GCF number.
So the greatest common factor 62997 and 63006 is 3.

Also check out the Least Common Multiple of 62997 and 63006