What is the Greatest Common Factor of 89000 and 89020?

Greatest common factor (GCF) of 89000 and 89020 is 20.

GCF(89000,89020) = 20

We will now calculate the prime factors of 89000 and 89020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89000 and 89020.

How to find the GCF of 89000 and 89020?

We will first find the prime factorization of 89000 and 89020. After we will calculate the factors of 89000 and 89020 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 89020

Prime factors of 89020 are 2, 5, 4451. Prime factorization of 89020 in exponential form is:

89020 = 2² × 5¹ × 4451¹

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 89020

List of positive integer factors of 89020 that divides 89000 without a remainder.

1, 2, 4, 5, 10, 20, 4451, 8902, 17804, 22255, 44510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89000 and 89020. The biggest common factor number is the GCF number.
So the greatest common factor 89000 and 89020 is 20.

Also check out the Least Common Multiple of 89000 and 89020