What is the Greatest Common Factor of 79722 and 79735?

Greatest common factor (GCF) of 79722 and 79735 is 1.

GCF(79722,79735) = 1

We will now calculate the prime factors of 79722 and 79735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79722 and 79735.

How to find the GCF of 79722 and 79735?

We will first find the prime factorization of 79722 and 79735. After we will calculate the factors of 79722 and 79735 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79735

Prime factors of 79735 are 5, 37, 431. Prime factorization of 79735 in exponential form is:

79735 = 5¹ × 37¹ × 431¹

Step-3: Factors of 79722

List of positive integer factors of 79722 that divides 79722 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

Step-4: Factors of 79735

List of positive integer factors of 79735 that divides 79722 without a remainder.

1, 5, 37, 185, 431, 2155, 15947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79722 and 79735. The biggest common factor number is the GCF number.
So the greatest common factor 79722 and 79735 is 1.

Also check out the Least Common Multiple of 79722 and 79735