What is the Greatest Common Factor of 79449 and 79455?

Greatest common factor (GCF) of 79449 and 79455 is 3.

GCF(79449,79455) = 3

We will now calculate the prime factors of 79449 and 79455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79449 and 79455.

How to find the GCF of 79449 and 79455?

We will first find the prime factorization of 79449 and 79455. After we will calculate the factors of 79449 and 79455 and find the biggest common factor number .

Step-1: Prime Factorization of 79449

Prime factors of 79449 are 3, 71, 373. Prime factorization of 79449 in exponential form is:

79449 = 3¹ × 71¹ × 373¹

Step-2: Prime Factorization of 79455

Prime factors of 79455 are 3, 5, 5297. Prime factorization of 79455 in exponential form is:

79455 = 3¹ × 5¹ × 5297¹

Step-3: Factors of 79449

List of positive integer factors of 79449 that divides 79449 without a remainder.

1, 3, 71, 213, 373, 1119, 26483

Step-4: Factors of 79455

List of positive integer factors of 79455 that divides 79449 without a remainder.

1, 3, 5, 15, 5297, 15891, 26485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79449 and 79455. The biggest common factor number is the GCF number.
So the greatest common factor 79449 and 79455 is 3.

Also check out the Least Common Multiple of 79449 and 79455