What is the Greatest Common Factor of 79785 and 79795?

Greatest common factor (GCF) of 79785 and 79795 is 5.

GCF(79785,79795) = 5

We will now calculate the prime factors of 79785 and 79795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79785 and 79795.

How to find the GCF of 79785 and 79795?

We will first find the prime factorization of 79785 and 79795. After we will calculate the factors of 79785 and 79795 and find the biggest common factor number .

Step-1: Prime Factorization of 79785

Prime factors of 79785 are 3, 5, 197. Prime factorization of 79785 in exponential form is:

79785 = 3⁴ × 5¹ × 197¹

Step-2: Prime Factorization of 79795

Prime factors of 79795 are 5, 15959. Prime factorization of 79795 in exponential form is:

79795 = 5¹ × 15959¹

Step-3: Factors of 79785

List of positive integer factors of 79785 that divides 79785 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 197, 405, 591, 985, 1773, 2955, 5319, 8865, 15957, 26595

Step-4: Factors of 79795

List of positive integer factors of 79795 that divides 79785 without a remainder.

1, 5, 15959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79785 and 79795. The biggest common factor number is the GCF number.
So the greatest common factor 79785 and 79795 is 5.

Also check out the Least Common Multiple of 79785 and 79795