What is the Greatest Common Factor of 63783 and 63798?

Greatest common factor (GCF) of 63783 and 63798 is 3.

GCF(63783,63798) = 3

We will now calculate the prime factors of 63783 and 63798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63783 and 63798.

How to find the GCF of 63783 and 63798?

We will first find the prime factorization of 63783 and 63798. After we will calculate the factors of 63783 and 63798 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 63798

Prime factors of 63798 are 2, 3, 7, 31. Prime factorization of 63798 in exponential form is:

63798 = 2¹ × 3¹ × 7³ × 31¹

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 63798

List of positive integer factors of 63798 that divides 63783 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 49, 62, 93, 98, 147, 186, 217, 294, 343, 434, 651, 686, 1029, 1302, 1519, 2058, 3038, 4557, 9114, 10633, 21266, 31899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63783 and 63798. The biggest common factor number is the GCF number.
So the greatest common factor 63783 and 63798 is 3.

Also check out the Least Common Multiple of 63783 and 63798