What is the Greatest Common Factor of 93821 and 93834?

Greatest common factor (GCF) of 93821 and 93834 is 13.

GCF(93821,93834) = 13

We will now calculate the prime factors of 93821 and 93834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93821 and 93834.

How to find the GCF of 93821 and 93834?

We will first find the prime factorization of 93821 and 93834. After we will calculate the factors of 93821 and 93834 and find the biggest common factor number .

Step-1: Prime Factorization of 93821

Prime factors of 93821 are 7, 13, 1031. Prime factorization of 93821 in exponential form is:

93821 = 7¹ × 13¹ × 1031¹

Step-2: Prime Factorization of 93834

Prime factors of 93834 are 2, 3, 13, 401. Prime factorization of 93834 in exponential form is:

93834 = 2¹ × 3² × 13¹ × 401¹

Step-3: Factors of 93821

List of positive integer factors of 93821 that divides 93821 without a remainder.

1, 7, 13, 91, 1031, 7217, 13403

Step-4: Factors of 93834

List of positive integer factors of 93834 that divides 93821 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 401, 802, 1203, 2406, 3609, 5213, 7218, 10426, 15639, 31278, 46917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93821 and 93834. The biggest common factor number is the GCF number.
So the greatest common factor 93821 and 93834 is 13.

Also check out the Least Common Multiple of 93821 and 93834