What is the Greatest Common Factor of 83840 and 83854?

Greatest common factor (GCF) of 83840 and 83854 is 2.

GCF(83840,83854) = 2

We will now calculate the prime factors of 83840 and 83854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83840 and 83854.

How to find the GCF of 83840 and 83854?

We will first find the prime factorization of 83840 and 83854. After we will calculate the factors of 83840 and 83854 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83854

Prime factors of 83854 are 2, 41927. Prime factorization of 83854 in exponential form is:

83854 = 2¹ × 41927¹

Step-3: Factors of 83840

List of positive integer factors of 83840 that divides 83840 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

Step-4: Factors of 83854

List of positive integer factors of 83854 that divides 83840 without a remainder.

1, 2, 41927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83840 and 83854. The biggest common factor number is the GCF number.
So the greatest common factor 83840 and 83854 is 2.

Also check out the Least Common Multiple of 83840 and 83854