What is the Greatest Common Factor of 88797 and 88803?

Greatest common factor (GCF) of 88797 and 88803 is 3.

GCF(88797,88803) = 3

We will now calculate the prime factors of 88797 and 88803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88797 and 88803.

How to find the GCF of 88797 and 88803?

We will first find the prime factorization of 88797 and 88803. After we will calculate the factors of 88797 and 88803 and find the biggest common factor number .

Step-1: Prime Factorization of 88797

Prime factors of 88797 are 3, 29599. Prime factorization of 88797 in exponential form is:

88797 = 3¹ × 29599¹

Step-2: Prime Factorization of 88803

Prime factors of 88803 are 3, 11, 13, 23. Prime factorization of 88803 in exponential form is:

88803 = 3³ × 11¹ × 13¹ × 23¹

Step-3: Factors of 88797

List of positive integer factors of 88797 that divides 88797 without a remainder.

1, 3, 29599

Step-4: Factors of 88803

List of positive integer factors of 88803 that divides 88797 without a remainder.

1, 3, 9, 11, 13, 23, 27, 33, 39, 69, 99, 117, 143, 207, 253, 297, 299, 351, 429, 621, 759, 897, 1287, 2277, 2691, 3289, 3861, 6831, 8073, 9867, 29601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88797 and 88803. The biggest common factor number is the GCF number.
So the greatest common factor 88797 and 88803 is 3.

Also check out the Least Common Multiple of 88797 and 88803