What is the Greatest Common Factor of 63705 and 63723?

Greatest common factor (GCF) of 63705 and 63723 is 3.

GCF(63705,63723) = 3

We will now calculate the prime factors of 63705 and 63723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63705 and 63723.

How to find the GCF of 63705 and 63723?

We will first find the prime factorization of 63705 and 63723. After we will calculate the factors of 63705 and 63723 and find the biggest common factor number .

Step-1: Prime Factorization of 63705

Prime factors of 63705 are 3, 5, 31, 137. Prime factorization of 63705 in exponential form is:

63705 = 3¹ × 5¹ × 31¹ × 137¹

Step-2: Prime Factorization of 63723

Prime factors of 63723 are 3, 11, 1931. Prime factorization of 63723 in exponential form is:

63723 = 3¹ × 11¹ × 1931¹

Step-3: Factors of 63705

List of positive integer factors of 63705 that divides 63705 without a remainder.

1, 3, 5, 15, 31, 93, 137, 155, 411, 465, 685, 2055, 4247, 12741, 21235

Step-4: Factors of 63723

List of positive integer factors of 63723 that divides 63705 without a remainder.

1, 3, 11, 33, 1931, 5793, 21241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63705 and 63723. The biggest common factor number is the GCF number.
So the greatest common factor 63705 and 63723 is 3.

Also check out the Least Common Multiple of 63705 and 63723