What is the Greatest Common Factor of 88761 and 88779?

Greatest common factor (GCF) of 88761 and 88779 is 3.

GCF(88761,88779) = 3

We will now calculate the prime factors of 88761 and 88779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88761 and 88779.

How to find the GCF of 88761 and 88779?

We will first find the prime factorization of 88761 and 88779. After we will calculate the factors of 88761 and 88779 and find the biggest common factor number .

Step-1: Prime Factorization of 88761

Prime factors of 88761 are 3, 29587. Prime factorization of 88761 in exponential form is:

88761 = 3¹ × 29587¹

Step-2: 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-3: Factors of 88761

List of positive integer factors of 88761 that divides 88761 without a remainder.

1, 3, 29587

Step-4: Factors of 88779

List of positive integer factors of 88779 that divides 88761 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88761 and 88779. The biggest common factor number is the GCF number.
So the greatest common factor 88761 and 88779 is 3.

Also check out the Least Common Multiple of 88761 and 88779