What is the Greatest Common Factor of 79828 and 79842?

Greatest common factor (GCF) of 79828 and 79842 is 14.

GCF(79828,79842) = 14

We will now calculate the prime factors of 79828 and 79842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79828 and 79842.

How to find the GCF of 79828 and 79842?

We will first find the prime factorization of 79828 and 79842. After we will calculate the factors of 79828 and 79842 and find the biggest common factor number .

Step-1: Prime Factorization of 79828

Prime factors of 79828 are 2, 7, 2851. Prime factorization of 79828 in exponential form is:

79828 = 2² × 7¹ × 2851¹

Step-2: Prime Factorization of 79842

Prime factors of 79842 are 2, 3, 7, 1901. Prime factorization of 79842 in exponential form is:

79842 = 2¹ × 3¹ × 7¹ × 1901¹

Step-3: Factors of 79828

List of positive integer factors of 79828 that divides 79828 without a remainder.

1, 2, 4, 7, 14, 28, 2851, 5702, 11404, 19957, 39914

Step-4: Factors of 79842

List of positive integer factors of 79842 that divides 79828 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1901, 3802, 5703, 11406, 13307, 26614, 39921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79828 and 79842. The biggest common factor number is the GCF number.
So the greatest common factor 79828 and 79842 is 14.

Also check out the Least Common Multiple of 79828 and 79842