What is the Greatest Common Factor of 89868 and 89877?

Greatest common factor (GCF) of 89868 and 89877 is 3.

GCF(89868,89877) = 3

We will now calculate the prime factors of 89868 and 89877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89868 and 89877.

How to find the GCF of 89868 and 89877?

We will first find the prime factorization of 89868 and 89877. After we will calculate the factors of 89868 and 89877 and find the biggest common factor number .

Step-1: Prime Factorization of 89868

Prime factors of 89868 are 2, 3, 7489. Prime factorization of 89868 in exponential form is:

89868 = 2² × 3¹ × 7489¹

Step-2: Prime Factorization of 89877

Prime factors of 89877 are 3, 29959. Prime factorization of 89877 in exponential form is:

89877 = 3¹ × 29959¹

Step-3: Factors of 89868

List of positive integer factors of 89868 that divides 89868 without a remainder.

1, 2, 3, 4, 6, 12, 7489, 14978, 22467, 29956, 44934

Step-4: Factors of 89877

List of positive integer factors of 89877 that divides 89868 without a remainder.

1, 3, 29959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89868 and 89877. The biggest common factor number is the GCF number.
So the greatest common factor 89868 and 89877 is 3.

Also check out the Least Common Multiple of 89868 and 89877