What is the Greatest Common Factor of 79400 and 79410?

Greatest common factor (GCF) of 79400 and 79410 is 10.

GCF(79400,79410) = 10

We will now calculate the prime factors of 79400 and 79410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79400 and 79410.

How to find the GCF of 79400 and 79410?

We will first find the prime factorization of 79400 and 79410. After we will calculate the factors of 79400 and 79410 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 79410

Prime factors of 79410 are 2, 3, 5, 2647. Prime factorization of 79410 in exponential form is:

79410 = 2¹ × 3¹ × 5¹ × 2647¹

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 79410

List of positive integer factors of 79410 that divides 79400 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2647, 5294, 7941, 13235, 15882, 26470, 39705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79400 and 79410. The biggest common factor number is the GCF number.
So the greatest common factor 79400 and 79410 is 10.

Also check out the Least Common Multiple of 79400 and 79410