What is the Greatest Common Factor of 79408 and 79422?

Greatest common factor (GCF) of 79408 and 79422 is 14.

GCF(79408,79422) = 14

We will now calculate the prime factors of 79408 and 79422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79408 and 79422.

How to find the GCF of 79408 and 79422?

We will first find the prime factorization of 79408 and 79422. After we will calculate the factors of 79408 and 79422 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 79422

Prime factors of 79422 are 2, 3, 7, 31, 61. Prime factorization of 79422 in exponential form is:

79422 = 2¹ × 3¹ × 7¹ × 31¹ × 61¹

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 79422

List of positive integer factors of 79422 that divides 79408 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 61, 62, 93, 122, 183, 186, 217, 366, 427, 434, 651, 854, 1281, 1302, 1891, 2562, 3782, 5673, 11346, 13237, 26474, 39711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79408 and 79422. The biggest common factor number is the GCF number.
So the greatest common factor 79408 and 79422 is 14.

Also check out the Least Common Multiple of 79408 and 79422