What is the Greatest Common Factor of 83842 and 83853?

Greatest common factor (GCF) of 83842 and 83853 is 11.

GCF(83842,83853) = 11

We will now calculate the prime factors of 83842 and 83853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83842 and 83853.

How to find the GCF of 83842 and 83853?

We will first find the prime factorization of 83842 and 83853. After we will calculate the factors of 83842 and 83853 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 83853

Prime factors of 83853 are 3, 7, 11. Prime factorization of 83853 in exponential form is:

83853 = 3² × 7¹ × 11³

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 83853

List of positive integer factors of 83853 that divides 83842 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 1331, 2541, 3993, 7623, 9317, 11979, 27951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83842 and 83853. The biggest common factor number is the GCF number.
So the greatest common factor 83842 and 83853 is 11.

Also check out the Least Common Multiple of 83842 and 83853