What is the Greatest Common Factor of 63783 and 63801?

Greatest common factor (GCF) of 63783 and 63801 is 9.

GCF(63783,63801) = 9

We will now calculate the prime factors of 63783 and 63801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63783 and 63801.

How to find the GCF of 63783 and 63801?

We will first find the prime factorization of 63783 and 63801. After we will calculate the factors of 63783 and 63801 and find the biggest common factor number .

Step-1: Prime Factorization of 63783

Prime factors of 63783 are 3, 19, 373. Prime factorization of 63783 in exponential form is:

63783 = 3² × 19¹ × 373¹

Step-2: Prime Factorization of 63801

Prime factors of 63801 are 3, 17, 139. Prime factorization of 63801 in exponential form is:

63801 = 3³ × 17¹ × 139¹

Step-3: Factors of 63783

List of positive integer factors of 63783 that divides 63783 without a remainder.

1, 3, 9, 19, 57, 171, 373, 1119, 3357, 7087, 21261

Step-4: Factors of 63801

List of positive integer factors of 63801 that divides 63783 without a remainder.

1, 3, 9, 17, 27, 51, 139, 153, 417, 459, 1251, 2363, 3753, 7089, 21267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63783 and 63801. The biggest common factor number is the GCF number.
So the greatest common factor 63783 and 63801 is 9.

Also check out the Least Common Multiple of 63783 and 63801