What is the Greatest Common Factor of 83520 and 83526?

Greatest common factor (GCF) of 83520 and 83526 is 6.

GCF(83520,83526) = 6

We will now calculate the prime factors of 83520 and 83526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83520 and 83526.

How to find the GCF of 83520 and 83526?

We will first find the prime factorization of 83520 and 83526. After we will calculate the factors of 83520 and 83526 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 83526

Prime factors of 83526 are 2, 3, 13921. Prime factorization of 83526 in exponential form is:

83526 = 2¹ × 3¹ × 13921¹

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 83526

List of positive integer factors of 83526 that divides 83520 without a remainder.

1, 2, 3, 6, 13921, 27842, 41763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83520 and 83526. The biggest common factor number is the GCF number.
So the greatest common factor 83520 and 83526 is 6.

Also check out the Least Common Multiple of 83520 and 83526