What is the Greatest Common Factor of 83520 and 83540?

Greatest common factor (GCF) of 83520 and 83540 is 20.

GCF(83520,83540) = 20

We will now calculate the prime factors of 83520 and 83540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83520 and 83540.

How to find the GCF of 83520 and 83540?

We will first find the prime factorization of 83520 and 83540. After we will calculate the factors of 83520 and 83540 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 83540

Prime factors of 83540 are 2, 5, 4177. Prime factorization of 83540 in exponential form is:

83540 = 2² × 5¹ × 4177¹

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 83540

List of positive integer factors of 83540 that divides 83520 without a remainder.

1, 2, 4, 5, 10, 20, 4177, 8354, 16708, 20885, 41770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83520 and 83540. The biggest common factor number is the GCF number.
So the greatest common factor 83520 and 83540 is 20.

Also check out the Least Common Multiple of 83520 and 83540