What is the Greatest Common Factor of 89000 and 89004?

Greatest common factor (GCF) of 89000 and 89004 is 4.

GCF(89000,89004) = 4

We will now calculate the prime factors of 89000 and 89004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89000 and 89004.

How to find the GCF of 89000 and 89004?

We will first find the prime factorization of 89000 and 89004. After we will calculate the factors of 89000 and 89004 and find the biggest common factor number .

Step-1: Prime Factorization of 89000

Prime factors of 89000 are 2, 5, 89. Prime factorization of 89000 in exponential form is:

89000 = 2³ × 5³ × 89¹

Step-2: Prime Factorization of 89004

Prime factors of 89004 are 2, 3, 7417. Prime factorization of 89004 in exponential form is:

89004 = 2² × 3¹ × 7417¹

Step-3: Factors of 89000

List of positive integer factors of 89000 that divides 89000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 89, 100, 125, 178, 200, 250, 356, 445, 500, 712, 890, 1000, 1780, 2225, 3560, 4450, 8900, 11125, 17800, 22250, 44500

Step-4: Factors of 89004

List of positive integer factors of 89004 that divides 89000 without a remainder.

1, 2, 3, 4, 6, 12, 7417, 14834, 22251, 29668, 44502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89000 and 89004. The biggest common factor number is the GCF number.
So the greatest common factor 89000 and 89004 is 4.

Also check out the Least Common Multiple of 89000 and 89004