What is the Greatest Common Factor of 89892 and 89903?

Greatest common factor (GCF) of 89892 and 89903 is 11.

GCF(89892,89903) = 11

We will now calculate the prime factors of 89892 and 89903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89892 and 89903.

How to find the GCF of 89892 and 89903?

We will first find the prime factorization of 89892 and 89903. After we will calculate the factors of 89892 and 89903 and find the biggest common factor number .

Step-1: Prime Factorization of 89892

Prime factors of 89892 are 2, 3, 11, 227. Prime factorization of 89892 in exponential form is:

89892 = 2² × 3² × 11¹ × 227¹

Step-2: Prime Factorization of 89903

Prime factors of 89903 are 11, 743. Prime factorization of 89903 in exponential form is:

89903 = 11² × 743¹

Step-3: Factors of 89892

List of positive integer factors of 89892 that divides 89892 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 227, 396, 454, 681, 908, 1362, 2043, 2497, 2724, 4086, 4994, 7491, 8172, 9988, 14982, 22473, 29964, 44946

Step-4: Factors of 89903

List of positive integer factors of 89903 that divides 89892 without a remainder.

1, 11, 121, 743, 8173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89892 and 89903. The biggest common factor number is the GCF number.
So the greatest common factor 89892 and 89903 is 11.

Also check out the Least Common Multiple of 89892 and 89903