What is the Greatest Common Factor of 83720 and 83735?

Greatest common factor (GCF) of 83720 and 83735 is 5.

GCF(83720,83735) = 5

We will now calculate the prime factors of 83720 and 83735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83720 and 83735.

How to find the GCF of 83720 and 83735?

We will first find the prime factorization of 83720 and 83735. After we will calculate the factors of 83720 and 83735 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 83735

Prime factors of 83735 are 5, 16747. Prime factorization of 83735 in exponential form is:

83735 = 5¹ × 16747¹

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 83735

List of positive integer factors of 83735 that divides 83720 without a remainder.

1, 5, 16747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83720 and 83735. The biggest common factor number is the GCF number.
So the greatest common factor 83720 and 83735 is 5.

Also check out the Least Common Multiple of 83720 and 83735