What is the Greatest Common Factor of 88779 and 88785?

Greatest common factor (GCF) of 88779 and 88785 is 3.

GCF(88779,88785) = 3

We will now calculate the prime factors of 88779 and 88785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88779 and 88785.

How to find the GCF of 88779 and 88785?

We will first find the prime factorization of 88779 and 88785. After we will calculate the factors of 88779 and 88785 and find the biggest common factor number .

Step-1: Prime Factorization of 88779

Prime factors of 88779 are 3, 101, 293. Prime factorization of 88779 in exponential form is:

88779 = 3¹ × 101¹ × 293¹

Step-2: Prime Factorization of 88785

Prime factors of 88785 are 3, 5, 1973. Prime factorization of 88785 in exponential form is:

88785 = 3² × 5¹ × 1973¹

Step-3: Factors of 88779

List of positive integer factors of 88779 that divides 88779 without a remainder.

1, 3, 101, 293, 303, 879, 29593

Step-4: Factors of 88785

List of positive integer factors of 88785 that divides 88779 without a remainder.

1, 3, 5, 9, 15, 45, 1973, 5919, 9865, 17757, 29595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88779 and 88785. The biggest common factor number is the GCF number.
So the greatest common factor 88779 and 88785 is 3.

Also check out the Least Common Multiple of 88779 and 88785