What is the Greatest Common Factor of 90300 and 90310?

Greatest common factor (GCF) of 90300 and 90310 is 10.

GCF(90300,90310) = 10

We will now calculate the prime factors of 90300 and 90310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90300 and 90310.

How to find the GCF of 90300 and 90310?

We will first find the prime factorization of 90300 and 90310. After we will calculate the factors of 90300 and 90310 and find the biggest common factor number .

Step-1: Prime Factorization of 90300

Prime factors of 90300 are 2, 3, 5, 7, 43. Prime factorization of 90300 in exponential form is:

90300 = 2² × 3¹ × 5² × 7¹ × 43¹

Step-2: Prime Factorization of 90310

Prime factors of 90310 are 2, 5, 11, 821. Prime factorization of 90310 in exponential form is:

90310 = 2¹ × 5¹ × 11¹ × 821¹

Step-3: Factors of 90300

List of positive integer factors of 90300 that divides 90300 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 43, 50, 60, 70, 75, 84, 86, 100, 105, 129, 140, 150, 172, 175, 210, 215, 258, 300, 301, 350, 420, 430, 516, 525, 602, 645, 700, 860, 903, 1050, 1075, 1204, 1290, 1505, 1806, 2100, 2150, 2580, 3010, 3225, 3612, 4300, 4515, 6020, 6450, 7525, 9030, 12900, 15050, 18060, 22575, 30100, 45150

Step-4: Factors of 90310

List of positive integer factors of 90310 that divides 90300 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 821, 1642, 4105, 8210, 9031, 18062, 45155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90300 and 90310. The biggest common factor number is the GCF number.
So the greatest common factor 90300 and 90310 is 10.

Also check out the Least Common Multiple of 90300 and 90310