What is the Greatest Common Factor of 93814 and 93828?

Greatest common factor (GCF) of 93814 and 93828 is 14.

GCF(93814,93828) = 14

We will now calculate the prime factors of 93814 and 93828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93814 and 93828.

How to find the GCF of 93814 and 93828?

We will first find the prime factorization of 93814 and 93828. After we will calculate the factors of 93814 and 93828 and find the biggest common factor number .

Step-1: Prime Factorization of 93814

Prime factors of 93814 are 2, 7, 6701. Prime factorization of 93814 in exponential form is:

93814 = 2¹ × 7¹ × 6701¹

Step-2: Prime Factorization of 93828

Prime factors of 93828 are 2, 3, 7, 1117. Prime factorization of 93828 in exponential form is:

93828 = 2² × 3¹ × 7¹ × 1117¹

Step-3: Factors of 93814

List of positive integer factors of 93814 that divides 93814 without a remainder.

1, 2, 7, 14, 6701, 13402, 46907

Step-4: Factors of 93828

List of positive integer factors of 93828 that divides 93814 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1117, 2234, 3351, 4468, 6702, 7819, 13404, 15638, 23457, 31276, 46914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93814 and 93828. The biggest common factor number is the GCF number.
So the greatest common factor 93814 and 93828 is 14.

Also check out the Least Common Multiple of 93814 and 93828