What is the Greatest Common Factor of 83520 and 83530?

Greatest common factor (GCF) of 83520 and 83530 is 10.

GCF(83520,83530) = 10

We will now calculate the prime factors of 83520 and 83530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83520 and 83530.

How to find the GCF of 83520 and 83530?

We will first find the prime factorization of 83520 and 83530. After we will calculate the factors of 83520 and 83530 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 83530

Prime factors of 83530 are 2, 5, 8353. Prime factorization of 83530 in exponential form is:

83530 = 2¹ × 5¹ × 8353¹

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 83530

List of positive integer factors of 83530 that divides 83520 without a remainder.

1, 2, 5, 10, 8353, 16706, 41765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83520 and 83530. The biggest common factor number is the GCF number.
So the greatest common factor 83520 and 83530 is 10.

Also check out the Least Common Multiple of 83520 and 83530