What is the Greatest Common Factor of 62997 and 63007?

Greatest common factor (GCF) of 62997 and 63007 is 1.

GCF(62997,63007) = 1

We will now calculate the prime factors of 62997 and 63007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62997 and 63007.

How to find the GCF of 62997 and 63007?

We will first find the prime factorization of 62997 and 63007. After we will calculate the factors of 62997 and 63007 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 63007

Prime factors of 63007 are 7, 9001. Prime factorization of 63007 in exponential form is:

63007 = 7¹ × 9001¹

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 63007

List of positive integer factors of 63007 that divides 62997 without a remainder.

1, 7, 9001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62997 and 63007. The biggest common factor number is the GCF number.
So the greatest common factor 62997 and 63007 is 1.

Also check out the Least Common Multiple of 62997 and 63007