What is the Greatest Common Factor of 83820 and 83840?

Greatest common factor (GCF) of 83820 and 83840 is 20.

GCF(83820,83840) = 20

We will now calculate the prime factors of 83820 and 83840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83820 and 83840.

How to find the GCF of 83820 and 83840?

We will first find the prime factorization of 83820 and 83840. After we will calculate the factors of 83820 and 83840 and find the biggest common factor number .

Step-1: Prime Factorization of 83820

Prime factors of 83820 are 2, 3, 5, 11, 127. Prime factorization of 83820 in exponential form is:

83820 = 2² × 3¹ × 5¹ × 11¹ × 127¹

Step-2: Prime Factorization of 83840

Prime factors of 83840 are 2, 5, 131. Prime factorization of 83840 in exponential form is:

83840 = 2⁷ × 5¹ × 131¹

Step-3: Factors of 83820

List of positive integer factors of 83820 that divides 83820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 127, 132, 165, 220, 254, 330, 381, 508, 635, 660, 762, 1270, 1397, 1524, 1905, 2540, 2794, 3810, 4191, 5588, 6985, 7620, 8382, 13970, 16764, 20955, 27940, 41910

Step-4: Factors of 83840

List of positive integer factors of 83840 that divides 83820 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 131, 160, 262, 320, 524, 640, 655, 1048, 1310, 2096, 2620, 4192, 5240, 8384, 10480, 16768, 20960, 41920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83820 and 83840. The biggest common factor number is the GCF number.
So the greatest common factor 83820 and 83840 is 20.

Also check out the Least Common Multiple of 83820 and 83840