What is the Greatest Common Factor of 79363 and 79382?

Greatest common factor (GCF) of 79363 and 79382 is 19.

GCF(79363,79382) = 19

We will now calculate the prime factors of 79363 and 79382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79363 and 79382.

How to find the GCF of 79363 and 79382?

We will first find the prime factorization of 79363 and 79382. After we will calculate the factors of 79363 and 79382 and find the biggest common factor number .

Step-1: Prime Factorization of 79363

Prime factors of 79363 are 19, 4177. Prime factorization of 79363 in exponential form is:

79363 = 19¹ × 4177¹

Step-2: 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-3: Factors of 79363

List of positive integer factors of 79363 that divides 79363 without a remainder.

1, 19, 4177

Step-4: Factors of 79382

List of positive integer factors of 79382 that divides 79363 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79363 and 79382. The biggest common factor number is the GCF number.
So the greatest common factor 79363 and 79382 is 19.

Also check out the Least Common Multiple of 79363 and 79382