What is the Greatest Common Factor of 79707 and 79722?

Greatest common factor (GCF) of 79707 and 79722 is 3.

GCF(79707,79722) = 3

We will now calculate the prime factors of 79707 and 79722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79707 and 79722.

How to find the GCF of 79707 and 79722?

We will first find the prime factorization of 79707 and 79722. After we will calculate the factors of 79707 and 79722 and find the biggest common factor number .

Step-1: Prime Factorization of 79707

Prime factors of 79707 are 3, 163. Prime factorization of 79707 in exponential form is:

79707 = 3¹ × 163²

Step-2: Prime Factorization of 79722

Prime factors of 79722 are 2, 3, 43, 103. Prime factorization of 79722 in exponential form is:

79722 = 2¹ × 3² × 43¹ × 103¹

Step-3: Factors of 79707

List of positive integer factors of 79707 that divides 79707 without a remainder.

1, 3, 163, 489, 26569

Step-4: Factors of 79722

List of positive integer factors of 79722 that divides 79707 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 103, 129, 206, 258, 309, 387, 618, 774, 927, 1854, 4429, 8858, 13287, 26574, 39861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79707 and 79722. The biggest common factor number is the GCF number.
So the greatest common factor 79707 and 79722 is 3.

Also check out the Least Common Multiple of 79707 and 79722