What is the Greatest Common Factor of 63708 and 63720?

Greatest common factor (GCF) of 63708 and 63720 is 12.

GCF(63708,63720) = 12

We will now calculate the prime factors of 63708 and 63720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63708 and 63720.

How to find the GCF of 63708 and 63720?

We will first find the prime factorization of 63708 and 63720. After we will calculate the factors of 63708 and 63720 and find the biggest common factor number .

Step-1: Prime Factorization of 63708

Prime factors of 63708 are 2, 3, 5309. Prime factorization of 63708 in exponential form is:

63708 = 2² × 3¹ × 5309¹

Step-2: 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-3: Factors of 63708

List of positive integer factors of 63708 that divides 63708 without a remainder.

1, 2, 3, 4, 6, 12, 5309, 10618, 15927, 21236, 31854

Step-4: Factors of 63720

List of positive integer factors of 63720 that divides 63708 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63708 and 63720. The biggest common factor number is the GCF number.
So the greatest common factor 63708 and 63720 is 12.

Also check out the Least Common Multiple of 63708 and 63720