What is the Greatest Common Factor of 79401 and 79408?

Greatest common factor (GCF) of 79401 and 79408 is 7.

GCF(79401,79408) = 7

We will now calculate the prime factors of 79401 and 79408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79401 and 79408.

How to find the GCF of 79401 and 79408?

We will first find the prime factorization of 79401 and 79408. After we will calculate the factors of 79401 and 79408 and find the biggest common factor number .

Step-1: Prime Factorization of 79401

Prime factors of 79401 are 3, 7, 19, 199. Prime factorization of 79401 in exponential form is:

79401 = 3¹ × 7¹ × 19¹ × 199¹

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 79401

List of positive integer factors of 79401 that divides 79401 without a remainder.

1, 3, 7, 19, 21, 57, 133, 199, 399, 597, 1393, 3781, 4179, 11343, 26467

Step-4: Factors of 79408

List of positive integer factors of 79408 that divides 79401 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 79401 and 79408. The biggest common factor number is the GCF number.
So the greatest common factor 79401 and 79408 is 7.

Also check out the Least Common Multiple of 79401 and 79408