What is the Greatest Common Factor of 79400 and 79405?

Greatest common factor (GCF) of 79400 and 79405 is 5.

GCF(79400,79405) = 5

We will now calculate the prime factors of 79400 and 79405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79400 and 79405.

How to find the GCF of 79400 and 79405?

We will first find the prime factorization of 79400 and 79405. After we will calculate the factors of 79400 and 79405 and find the biggest common factor number .

Step-1: Prime Factorization of 79400

Prime factors of 79400 are 2, 5, 397. Prime factorization of 79400 in exponential form is:

79400 = 2³ × 5² × 397¹

Step-2: Prime Factorization of 79405

Prime factors of 79405 are 5, 15881. Prime factorization of 79405 in exponential form is:

79405 = 5¹ × 15881¹

Step-3: Factors of 79400

List of positive integer factors of 79400 that divides 79400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 397, 794, 1588, 1985, 3176, 3970, 7940, 9925, 15880, 19850, 39700

Step-4: Factors of 79405

List of positive integer factors of 79405 that divides 79400 without a remainder.

1, 5, 15881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79400 and 79405. The biggest common factor number is the GCF number.
So the greatest common factor 79400 and 79405 is 5.

Also check out the Least Common Multiple of 79400 and 79405