What is the Greatest Common Factor of 79382 and 79401?

Greatest common factor (GCF) of 79382 and 79401 is 19.

GCF(79382,79401) = 19

We will now calculate the prime factors of 79382 and 79401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79382 and 79401.

How to find the GCF of 79382 and 79401?

We will first find the prime factorization of 79382 and 79401. After we will calculate the factors of 79382 and 79401 and find the biggest common factor number .

Step-1: Prime Factorization of 79382

Prime factors of 79382 are 2, 19, 2089. Prime factorization of 79382 in exponential form is:

79382 = 2¹ × 19¹ × 2089¹

Step-2: Prime Factorization of 79401

Prime factors of 79401 are 3, 7, 19, 199. Prime factorization of 79401 in exponential form is:

79401 = 3¹ × 7¹ × 19¹ × 199¹

Step-3: Factors of 79382

List of positive integer factors of 79382 that divides 79382 without a remainder.

1, 2, 19, 38, 2089, 4178, 39691

Step-4: Factors of 79401

List of positive integer factors of 79401 that divides 79382 without a remainder.

1, 3, 7, 19, 21, 57, 133, 199, 399, 597, 1393, 3781, 4179, 11343, 26467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79382 and 79401. The biggest common factor number is the GCF number.
So the greatest common factor 79382 and 79401 is 19.

Also check out the Least Common Multiple of 79382 and 79401