What is the Greatest Common Factor of 89976 and 89988?

Greatest common factor (GCF) of 89976 and 89988 is 12.

GCF(89976,89988) = 12

We will now calculate the prime factors of 89976 and 89988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89976 and 89988.

How to find the GCF of 89976 and 89988?

We will first find the prime factorization of 89976 and 89988. After we will calculate the factors of 89976 and 89988 and find the biggest common factor number .

Step-1: Prime Factorization of 89976

Prime factors of 89976 are 2, 3, 23, 163. Prime factorization of 89976 in exponential form is:

89976 = 2³ × 3¹ × 23¹ × 163¹

Step-2: Prime Factorization of 89988

Prime factors of 89988 are 2, 3, 7499. Prime factorization of 89988 in exponential form is:

89988 = 2² × 3¹ × 7499¹

Step-3: Factors of 89976

List of positive integer factors of 89976 that divides 89976 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 163, 184, 276, 326, 489, 552, 652, 978, 1304, 1956, 3749, 3912, 7498, 11247, 14996, 22494, 29992, 44988

Step-4: Factors of 89988

List of positive integer factors of 89988 that divides 89976 without a remainder.

1, 2, 3, 4, 6, 12, 7499, 14998, 22497, 29996, 44994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89976 and 89988. The biggest common factor number is the GCF number.
So the greatest common factor 89976 and 89988 is 12.

Also check out the Least Common Multiple of 89976 and 89988