What is the Greatest Common Factor of 89900 and 89904?

Greatest common factor (GCF) of 89900 and 89904 is 4.

GCF(89900,89904) = 4

We will now calculate the prime factors of 89900 and 89904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89900 and 89904.

How to find the GCF of 89900 and 89904?

We will first find the prime factorization of 89900 and 89904. After we will calculate the factors of 89900 and 89904 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89904

Prime factors of 89904 are 2, 3, 1873. Prime factorization of 89904 in exponential form is:

89904 = 2⁴ × 3¹ × 1873¹

Step-3: Factors of 89900

List of positive integer factors of 89900 that divides 89900 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

Step-4: Factors of 89904

List of positive integer factors of 89904 that divides 89900 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1873, 3746, 5619, 7492, 11238, 14984, 22476, 29968, 44952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89900 and 89904. The biggest common factor number is the GCF number.
So the greatest common factor 89900 and 89904 is 4.

Also check out the Least Common Multiple of 89900 and 89904