What is the Greatest Common Factor of 79400 and 79407?

Greatest common factor (GCF) of 79400 and 79407 is 1.

GCF(79400,79407) = 1

We will now calculate the prime factors of 79400 and 79407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79400 and 79407.

How to find the GCF of 79400 and 79407?

We will first find the prime factorization of 79400 and 79407. After we will calculate the factors of 79400 and 79407 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 79407

Prime factors of 79407 are 3, 17, 173. Prime factorization of 79407 in exponential form is:

79407 = 3³ × 17¹ × 173¹

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 79407

List of positive integer factors of 79407 that divides 79400 without a remainder.

1, 3, 9, 17, 27, 51, 153, 173, 459, 519, 1557, 2941, 4671, 8823, 26469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79400 and 79407. The biggest common factor number is the GCF number.
So the greatest common factor 79400 and 79407 is 1.

Also check out the Least Common Multiple of 79400 and 79407