What is the Greatest Common Factor of 83842 and 83848?

Greatest common factor (GCF) of 83842 and 83848 is 2.

GCF(83842,83848) = 2

We will now calculate the prime factors of 83842 and 83848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83842 and 83848.

How to find the GCF of 83842 and 83848?

We will first find the prime factorization of 83842 and 83848. After we will calculate the factors of 83842 and 83848 and find the biggest common factor number .

Step-1: Prime Factorization of 83842

Prime factors of 83842 are 2, 11, 37, 103. Prime factorization of 83842 in exponential form is:

83842 = 2¹ × 11¹ × 37¹ × 103¹

Step-2: Prime Factorization of 83848

Prime factors of 83848 are 2, 47, 223. Prime factorization of 83848 in exponential form is:

83848 = 2³ × 47¹ × 223¹

Step-3: Factors of 83842

List of positive integer factors of 83842 that divides 83842 without a remainder.

1, 2, 11, 22, 37, 74, 103, 206, 407, 814, 1133, 2266, 3811, 7622, 41921

Step-4: Factors of 83848

List of positive integer factors of 83848 that divides 83842 without a remainder.

1, 2, 4, 8, 47, 94, 188, 223, 376, 446, 892, 1784, 10481, 20962, 41924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83842 and 83848. The biggest common factor number is the GCF number.
So the greatest common factor 83842 and 83848 is 2.

Also check out the Least Common Multiple of 83842 and 83848