What is the Greatest Common Factor of 79408 and 79423?

Greatest common factor (GCF) of 79408 and 79423 is 1.

GCF(79408,79423) = 1

We will now calculate the prime factors of 79408 and 79423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79408 and 79423.

How to find the GCF of 79408 and 79423?

We will first find the prime factorization of 79408 and 79423. After we will calculate the factors of 79408 and 79423 and find the biggest common factor number .

Step-1: Prime Factorization of 79408

Prime factors of 79408 are 2, 7, 709. Prime factorization of 79408 in exponential form is:

79408 = 2⁴ × 7¹ × 709¹

Step-2: Prime Factorization of 79423

Prime factors of 79423 are 79423. Prime factorization of 79423 in exponential form is:

79423 = 79423¹

Step-3: Factors of 79408

List of positive integer factors of 79408 that divides 79408 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 709, 1418, 2836, 4963, 5672, 9926, 11344, 19852, 39704

Step-4: Factors of 79423

List of positive integer factors of 79423 that divides 79408 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79408 and 79423. The biggest common factor number is the GCF number.
So the greatest common factor 79408 and 79423 is 1.

Also check out the Least Common Multiple of 79408 and 79423