What is the Greatest Common Factor of 89000 and 89010?

Greatest common factor (GCF) of 89000 and 89010 is 10.

GCF(89000,89010) = 10

We will now calculate the prime factors of 89000 and 89010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89000 and 89010.

How to find the GCF of 89000 and 89010?

We will first find the prime factorization of 89000 and 89010. After we will calculate the factors of 89000 and 89010 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 89010

Prime factors of 89010 are 2, 3, 5, 23, 43. Prime factorization of 89010 in exponential form is:

89010 = 2¹ × 3² × 5¹ × 23¹ × 43¹

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 89010

List of positive integer factors of 89010 that divides 89000 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 43, 45, 46, 69, 86, 90, 115, 129, 138, 207, 215, 230, 258, 345, 387, 414, 430, 645, 690, 774, 989, 1035, 1290, 1935, 1978, 2070, 2967, 3870, 4945, 5934, 8901, 9890, 14835, 17802, 29670, 44505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89000 and 89010. The biggest common factor number is the GCF number.
So the greatest common factor 89000 and 89010 is 10.

Also check out the Least Common Multiple of 89000 and 89010