What is the Greatest Common Factor of 89000 and 89008?

Greatest common factor (GCF) of 89000 and 89008 is 8.

GCF(89000,89008) = 8

We will now calculate the prime factors of 89000 and 89008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89000 and 89008.

How to find the GCF of 89000 and 89008?

We will first find the prime factorization of 89000 and 89008. After we will calculate the factors of 89000 and 89008 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 89008

Prime factors of 89008 are 2, 5563. Prime factorization of 89008 in exponential form is:

89008 = 2⁴ × 5563¹

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 89008

List of positive integer factors of 89008 that divides 89000 without a remainder.

1, 2, 4, 8, 16, 5563, 11126, 22252, 44504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89000 and 89008. The biggest common factor number is the GCF number.
So the greatest common factor 89000 and 89008 is 8.

Also check out the Least Common Multiple of 89000 and 89008