What is the Greatest Common Factor of 89890 and 89900?

Greatest common factor (GCF) of 89890 and 89900 is 10.

GCF(89890,89900) = 10

We will now calculate the prime factors of 89890 and 89900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89890 and 89900.

How to find the GCF of 89890 and 89900?

We will first find the prime factorization of 89890 and 89900. After we will calculate the factors of 89890 and 89900 and find the biggest common factor number .

Step-1: Prime Factorization of 89890

Prime factors of 89890 are 2, 5, 89, 101. Prime factorization of 89890 in exponential form is:

89890 = 2¹ × 5¹ × 89¹ × 101¹

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 89890

List of positive integer factors of 89890 that divides 89890 without a remainder.

1, 2, 5, 10, 89, 101, 178, 202, 445, 505, 890, 1010, 8989, 17978, 44945

Step-4: Factors of 89900

List of positive integer factors of 89900 that divides 89890 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 89890 and 89900. The biggest common factor number is the GCF number.
So the greatest common factor 89890 and 89900 is 10.

Also check out the Least Common Multiple of 89890 and 89900