What is the Greatest Common Factor of 79785 and 79790?

Greatest common factor (GCF) of 79785 and 79790 is 5.

GCF(79785,79790) = 5

We will now calculate the prime factors of 79785 and 79790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79785 and 79790.

How to find the GCF of 79785 and 79790?

We will first find the prime factorization of 79785 and 79790. After we will calculate the factors of 79785 and 79790 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 79790

Prime factors of 79790 are 2, 5, 79, 101. Prime factorization of 79790 in exponential form is:

79790 = 2¹ × 5¹ × 79¹ × 101¹

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 79790

List of positive integer factors of 79790 that divides 79785 without a remainder.

1, 2, 5, 10, 79, 101, 158, 202, 395, 505, 790, 1010, 7979, 15958, 39895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79785 and 79790. The biggest common factor number is the GCF number.
So the greatest common factor 79785 and 79790 is 5.

Also check out the Least Common Multiple of 79785 and 79790