What is the Greatest Common Factor of 79388 and 79408?

Greatest common factor (GCF) of 79388 and 79408 is 4.

GCF(79388,79408) = 4

We will now calculate the prime factors of 79388 and 79408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79388 and 79408.

How to find the GCF of 79388 and 79408?

We will first find the prime factorization of 79388 and 79408. After we will calculate the factors of 79388 and 79408 and find the biggest common factor number .

Step-1: Prime Factorization of 79388

Prime factors of 79388 are 2, 89, 223. Prime factorization of 79388 in exponential form is:

79388 = 2² × 89¹ × 223¹

Step-2: 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-3: Factors of 79388

List of positive integer factors of 79388 that divides 79388 without a remainder.

1, 2, 4, 89, 178, 223, 356, 446, 892, 19847, 39694

Step-4: Factors of 79408

List of positive integer factors of 79408 that divides 79388 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79388 and 79408. The biggest common factor number is the GCF number.
So the greatest common factor 79388 and 79408 is 4.

Also check out the Least Common Multiple of 79388 and 79408