What is the Greatest Common Factor of 88792 and 88803?

Greatest common factor (GCF) of 88792 and 88803 is 11.

GCF(88792,88803) = 11

We will now calculate the prime factors of 88792 and 88803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88792 and 88803.

How to find the GCF of 88792 and 88803?

We will first find the prime factorization of 88792 and 88803. After we will calculate the factors of 88792 and 88803 and find the biggest common factor number .

Step-1: Prime Factorization of 88792

Prime factors of 88792 are 2, 11, 1009. Prime factorization of 88792 in exponential form is:

88792 = 2³ × 11¹ × 1009¹

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 88792

List of positive integer factors of 88792 that divides 88792 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1009, 2018, 4036, 8072, 11099, 22198, 44396

Step-4: Factors of 88803

List of positive integer factors of 88803 that divides 88792 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 88792 and 88803. The biggest common factor number is the GCF number.
So the greatest common factor 88792 and 88803 is 11.

Also check out the Least Common Multiple of 88792 and 88803