What is the Greatest Common Factor of 83520 and 83536?

Greatest common factor (GCF) of 83520 and 83536 is 16.

GCF(83520,83536) = 16

We will now calculate the prime factors of 83520 and 83536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83520 and 83536.

How to find the GCF of 83520 and 83536?

We will first find the prime factorization of 83520 and 83536. After we will calculate the factors of 83520 and 83536 and find the biggest common factor number .

Step-1: Prime Factorization of 83520

Prime factors of 83520 are 2, 3, 5, 29. Prime factorization of 83520 in exponential form is:

83520 = 2⁶ × 3² × 5¹ × 29¹

Step-2: Prime Factorization of 83536

Prime factors of 83536 are 2, 23, 227. Prime factorization of 83536 in exponential form is:

83536 = 2⁴ × 23¹ × 227¹

Step-3: Factors of 83520

List of positive integer factors of 83520 that divides 83520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 29, 30, 32, 36, 40, 45, 48, 58, 60, 64, 72, 80, 87, 90, 96, 116, 120, 144, 145, 160, 174, 180, 192, 232, 240, 261, 288, 290, 320, 348, 360, 435, 464, 480, 522, 576, 580, 696, 720, 870, 928, 960, 1044, 1160, 1305, 1392, 1440, 1740, 1856, 2088, 2320, 2610, 2784, 2880, 3480, 4176, 4640, 5220, 5568, 6960, 8352, 9280, 10440, 13920, 16704, 20880, 27840, 41760

Step-4: Factors of 83536

List of positive integer factors of 83536 that divides 83520 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 227, 368, 454, 908, 1816, 3632, 5221, 10442, 20884, 41768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83520 and 83536. The biggest common factor number is the GCF number.
So the greatest common factor 83520 and 83536 is 16.

Also check out the Least Common Multiple of 83520 and 83536