What is the Greatest Common Factor of 68379 and 68394?

Greatest common factor (GCF) of 68379 and 68394 is 3.

GCF(68379,68394) = 3

We will now calculate the prime factors of 68379 and 68394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68379 and 68394.

How to find the GCF of 68379 and 68394?

We will first find the prime factorization of 68379 and 68394. After we will calculate the factors of 68379 and 68394 and find the biggest common factor number .

Step-1: Prime Factorization of 68379

Prime factors of 68379 are 3, 23, 991. Prime factorization of 68379 in exponential form is:

68379 = 3¹ × 23¹ × 991¹

Step-2: Prime Factorization of 68394

Prime factors of 68394 are 2, 3, 11399. Prime factorization of 68394 in exponential form is:

68394 = 2¹ × 3¹ × 11399¹

Step-3: Factors of 68379

List of positive integer factors of 68379 that divides 68379 without a remainder.

1, 3, 23, 69, 991, 2973, 22793

Step-4: Factors of 68394

List of positive integer factors of 68394 that divides 68379 without a remainder.

1, 2, 3, 6, 11399, 22798, 34197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68379 and 68394. The biggest common factor number is the GCF number.
So the greatest common factor 68379 and 68394 is 3.

Also check out the Least Common Multiple of 68379 and 68394