What is the Greatest Common Factor of 89882 and 89900?

Greatest common factor (GCF) of 89882 and 89900 is 2.

GCF(89882,89900) = 2

We will now calculate the prime factors of 89882 and 89900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89882 and 89900.

How to find the GCF of 89882 and 89900?

We will first find the prime factorization of 89882 and 89900. After we will calculate the factors of 89882 and 89900 and find the biggest common factor number .

Step-1: Prime Factorization of 89882

Prime factors of 89882 are 2, 13, 3457. Prime factorization of 89882 in exponential form is:

89882 = 2¹ × 13¹ × 3457¹

Step-2: Prime Factorization of 89900

Prime factors of 89900 are 2, 5, 29, 31. Prime factorization of 89900 in exponential form is:

89900 = 2² × 5² × 29¹ × 31¹

Step-3: Factors of 89882

List of positive integer factors of 89882 that divides 89882 without a remainder.

1, 2, 13, 26, 3457, 6914, 44941

Step-4: Factors of 89900

List of positive integer factors of 89900 that divides 89882 without a remainder.

1, 2, 4, 5, 10, 20, 25, 29, 31, 50, 58, 62, 100, 116, 124, 145, 155, 290, 310, 580, 620, 725, 775, 899, 1450, 1550, 1798, 2900, 3100, 3596, 4495, 8990, 17980, 22475, 44950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89882 and 89900. The biggest common factor number is the GCF number.
So the greatest common factor 89882 and 89900 is 2.

Also check out the Least Common Multiple of 89882 and 89900