What is the Greatest Common Factor of 79842 and 79849?

Greatest common factor (GCF) of 79842 and 79849 is 7.

GCF(79842,79849) = 7

We will now calculate the prime factors of 79842 and 79849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79842 and 79849.

How to find the GCF of 79842 and 79849?

We will first find the prime factorization of 79842 and 79849. After we will calculate the factors of 79842 and 79849 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79849

Prime factors of 79849 are 7, 11, 17, 61. Prime factorization of 79849 in exponential form is:

79849 = 7¹ × 11¹ × 17¹ × 61¹

Step-3: Factors of 79842

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

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

Step-4: Factors of 79849

List of positive integer factors of 79849 that divides 79842 without a remainder.

1, 7, 11, 17, 61, 77, 119, 187, 427, 671, 1037, 1309, 4697, 7259, 11407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79842 and 79849. The biggest common factor number is the GCF number.
So the greatest common factor 79842 and 79849 is 7.

Also check out the Least Common Multiple of 79842 and 79849