What is the Greatest Common Factor of 79410 and 79415?

Greatest common factor (GCF) of 79410 and 79415 is 5.

GCF(79410,79415) = 5

We will now calculate the prime factors of 79410 and 79415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79410 and 79415.

How to find the GCF of 79410 and 79415?

We will first find the prime factorization of 79410 and 79415. After we will calculate the factors of 79410 and 79415 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79415

Prime factors of 79415 are 5, 7, 2269. Prime factorization of 79415 in exponential form is:

79415 = 5¹ × 7¹ × 2269¹

Step-3: Factors of 79410

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

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

Step-4: Factors of 79415

List of positive integer factors of 79415 that divides 79410 without a remainder.

1, 5, 7, 35, 2269, 11345, 15883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79410 and 79415. The biggest common factor number is the GCF number.
So the greatest common factor 79410 and 79415 is 5.

Also check out the Least Common Multiple of 79410 and 79415