What is the Greatest Common Factor of 89796 and 89808?

Greatest common factor (GCF) of 89796 and 89808 is 12.

GCF(89796,89808) = 12

We will now calculate the prime factors of 89796 and 89808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89796 and 89808.

How to find the GCF of 89796 and 89808?

We will first find the prime factorization of 89796 and 89808. After we will calculate the factors of 89796 and 89808 and find the biggest common factor number .

Step-1: Prime Factorization of 89796

Prime factors of 89796 are 2, 3, 7, 1069. Prime factorization of 89796 in exponential form is:

89796 = 2² × 3¹ × 7¹ × 1069¹

Step-2: Prime Factorization of 89808

Prime factors of 89808 are 2, 3, 1871. Prime factorization of 89808 in exponential form is:

89808 = 2⁴ × 3¹ × 1871¹

Step-3: Factors of 89796

List of positive integer factors of 89796 that divides 89796 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1069, 2138, 3207, 4276, 6414, 7483, 12828, 14966, 22449, 29932, 44898

Step-4: Factors of 89808

List of positive integer factors of 89808 that divides 89796 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1871, 3742, 5613, 7484, 11226, 14968, 22452, 29936, 44904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89796 and 89808. The biggest common factor number is the GCF number.
So the greatest common factor 89796 and 89808 is 12.

Also check out the Least Common Multiple of 89796 and 89808