What is the Greatest Common Factor of 63720 and 63738?

Greatest common factor (GCF) of 63720 and 63738 is 18.

GCF(63720,63738) = 18

We will now calculate the prime factors of 63720 and 63738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63720 and 63738.

How to find the GCF of 63720 and 63738?

We will first find the prime factorization of 63720 and 63738. After we will calculate the factors of 63720 and 63738 and find the biggest common factor number .

Step-1: Prime Factorization of 63720

Prime factors of 63720 are 2, 3, 5, 59. Prime factorization of 63720 in exponential form is:

63720 = 2³ × 3³ × 5¹ × 59¹

Step-2: Prime Factorization of 63738

Prime factors of 63738 are 2, 3, 3541. Prime factorization of 63738 in exponential form is:

63738 = 2¹ × 3² × 3541¹

Step-3: Factors of 63720

List of positive integer factors of 63720 that divides 63720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 59, 60, 72, 90, 108, 118, 120, 135, 177, 180, 216, 236, 270, 295, 354, 360, 472, 531, 540, 590, 708, 885, 1062, 1080, 1180, 1416, 1593, 1770, 2124, 2360, 2655, 3186, 3540, 4248, 5310, 6372, 7080, 7965, 10620, 12744, 15930, 21240, 31860

Step-4: Factors of 63738

List of positive integer factors of 63738 that divides 63720 without a remainder.

1, 2, 3, 6, 9, 18, 3541, 7082, 10623, 21246, 31869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63720 and 63738. The biggest common factor number is the GCF number.
So the greatest common factor 63720 and 63738 is 18.

Also check out the Least Common Multiple of 63720 and 63738