What is the Greatest Common Factor of 83720 and 83730?

Greatest common factor (GCF) of 83720 and 83730 is 10.

GCF(83720,83730) = 10

We will now calculate the prime factors of 83720 and 83730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83720 and 83730.

How to find the GCF of 83720 and 83730?

We will first find the prime factorization of 83720 and 83730. After we will calculate the factors of 83720 and 83730 and find the biggest common factor number .

Step-1: Prime Factorization of 83720

Prime factors of 83720 are 2, 5, 7, 13, 23. Prime factorization of 83720 in exponential form is:

83720 = 2³ × 5¹ × 7¹ × 13¹ × 23¹

Step-2: Prime Factorization of 83730

Prime factors of 83730 are 2, 3, 5, 2791. Prime factorization of 83730 in exponential form is:

83730 = 2¹ × 3¹ × 5¹ × 2791¹

Step-3: Factors of 83720

List of positive integer factors of 83720 that divides 83720 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 23, 26, 28, 35, 40, 46, 52, 56, 65, 70, 91, 92, 104, 115, 130, 140, 161, 182, 184, 230, 260, 280, 299, 322, 364, 455, 460, 520, 598, 644, 728, 805, 910, 920, 1196, 1288, 1495, 1610, 1820, 2093, 2392, 2990, 3220, 3640, 4186, 5980, 6440, 8372, 10465, 11960, 16744, 20930, 41860

Step-4: Factors of 83730

List of positive integer factors of 83730 that divides 83720 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2791, 5582, 8373, 13955, 16746, 27910, 41865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83720 and 83730. The biggest common factor number is the GCF number.
So the greatest common factor 83720 and 83730 is 10.

Also check out the Least Common Multiple of 83720 and 83730