What is the Greatest Common Factor of 63063 and 63077?

Greatest common factor (GCF) of 63063 and 63077 is 7.

GCF(63063,63077) = 7

We will now calculate the prime factors of 63063 and 63077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63063 and 63077.

How to find the GCF of 63063 and 63077?

We will first find the prime factorization of 63063 and 63077. After we will calculate the factors of 63063 and 63077 and find the biggest common factor number .

Step-1: Prime Factorization of 63063

Prime factors of 63063 are 3, 7, 11, 13. Prime factorization of 63063 in exponential form is:

63063 = 3² × 7² × 11¹ × 13¹

Step-2: Prime Factorization of 63077

Prime factors of 63077 are 7, 9011. Prime factorization of 63077 in exponential form is:

63077 = 7¹ × 9011¹

Step-3: Factors of 63063

List of positive integer factors of 63063 that divides 63063 without a remainder.

1, 3, 7, 9, 11, 13, 21, 33, 39, 49, 63, 77, 91, 99, 117, 143, 147, 231, 273, 429, 441, 539, 637, 693, 819, 1001, 1287, 1617, 1911, 3003, 4851, 5733, 7007, 9009, 21021

Step-4: Factors of 63077

List of positive integer factors of 63077 that divides 63063 without a remainder.

1, 7, 9011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63063 and 63077. The biggest common factor number is the GCF number.
So the greatest common factor 63063 and 63077 is 7.

Also check out the Least Common Multiple of 63063 and 63077