What is the Greatest Common Factor of 89796 and 89803?

Greatest common factor (GCF) of 89796 and 89803 is 7.

GCF(89796,89803) = 7

We will now calculate the prime factors of 89796 and 89803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89796 and 89803.

How to find the GCF of 89796 and 89803?

We will first find the prime factorization of 89796 and 89803. After we will calculate the factors of 89796 and 89803 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 89803

Prime factors of 89803 are 7, 12829. Prime factorization of 89803 in exponential form is:

89803 = 7¹ × 12829¹

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 89803

List of positive integer factors of 89803 that divides 89796 without a remainder.

1, 7, 12829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89796 and 89803. The biggest common factor number is the GCF number.
So the greatest common factor 89796 and 89803 is 7.

Also check out the Least Common Multiple of 89796 and 89803