What is the Greatest Common Factor of 63720 and 63730?

Greatest common factor (GCF) of 63720 and 63730 is 10.

GCF(63720,63730) = 10

We will now calculate the prime factors of 63720 and 63730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63720 and 63730.

How to find the GCF of 63720 and 63730?

We will first find the prime factorization of 63720 and 63730. After we will calculate the factors of 63720 and 63730 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 63730

Prime factors of 63730 are 2, 5, 6373. Prime factorization of 63730 in exponential form is:

63730 = 2¹ × 5¹ × 6373¹

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 63730

List of positive integer factors of 63730 that divides 63720 without a remainder.

1, 2, 5, 10, 6373, 12746, 31865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63720 and 63730. The biggest common factor number is the GCF number.
So the greatest common factor 63720 and 63730 is 10.

Also check out the Least Common Multiple of 63720 and 63730