What is the Greatest Common Factor of 79773 and 79785?

Greatest common factor (GCF) of 79773 and 79785 is 3.

GCF(79773,79785) = 3

We will now calculate the prime factors of 79773 and 79785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79773 and 79785.

How to find the GCF of 79773 and 79785?

We will first find the prime factorization of 79773 and 79785. After we will calculate the factors of 79773 and 79785 and find the biggest common factor number .

Step-1: Prime Factorization of 79773

Prime factors of 79773 are 3, 26591. Prime factorization of 79773 in exponential form is:

79773 = 3¹ × 26591¹

Step-2: 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-3: Factors of 79773

List of positive integer factors of 79773 that divides 79773 without a remainder.

1, 3, 26591

Step-4: Factors of 79785

List of positive integer factors of 79785 that divides 79773 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79773 and 79785. The biggest common factor number is the GCF number.
So the greatest common factor 79773 and 79785 is 3.

Also check out the Least Common Multiple of 79773 and 79785