What is the Greatest Common Factor of 88977 and 88989?

Greatest common factor (GCF) of 88977 and 88989 is 3.

GCF(88977,88989) = 3

We will now calculate the prime factors of 88977 and 88989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88977 and 88989.

How to find the GCF of 88977 and 88989?

We will first find the prime factorization of 88977 and 88989. After we will calculate the factors of 88977 and 88989 and find the biggest common factor number .

Step-1: Prime Factorization of 88977

Prime factors of 88977 are 3, 7, 19, 223. Prime factorization of 88977 in exponential form is:

88977 = 3¹ × 7¹ × 19¹ × 223¹

Step-2: Prime Factorization of 88989

Prime factors of 88989 are 3, 29663. Prime factorization of 88989 in exponential form is:

88989 = 3¹ × 29663¹

Step-3: Factors of 88977

List of positive integer factors of 88977 that divides 88977 without a remainder.

1, 3, 7, 19, 21, 57, 133, 223, 399, 669, 1561, 4237, 4683, 12711, 29659

Step-4: Factors of 88989

List of positive integer factors of 88989 that divides 88977 without a remainder.

1, 3, 29663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88977 and 88989. The biggest common factor number is the GCF number.
So the greatest common factor 88977 and 88989 is 3.

Also check out the Least Common Multiple of 88977 and 88989