What is the Greatest Common Factor of 90630 and 90648?

Greatest common factor (GCF) of 90630 and 90648 is 18.

GCF(90630,90648) = 18

We will now calculate the prime factors of 90630 and 90648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90630 and 90648.

How to find the GCF of 90630 and 90648?

We will first find the prime factorization of 90630 and 90648. After we will calculate the factors of 90630 and 90648 and find the biggest common factor number .

Step-1: Prime Factorization of 90630

Prime factors of 90630 are 2, 3, 5, 19, 53. Prime factorization of 90630 in exponential form is:

90630 = 2¹ × 3² × 5¹ × 19¹ × 53¹

Step-2: Prime Factorization of 90648

Prime factors of 90648 are 2, 3, 1259. Prime factorization of 90648 in exponential form is:

90648 = 2³ × 3² × 1259¹

Step-3: Factors of 90630

List of positive integer factors of 90630 that divides 90630 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 53, 57, 90, 95, 106, 114, 159, 171, 190, 265, 285, 318, 342, 477, 530, 570, 795, 855, 954, 1007, 1590, 1710, 2014, 2385, 3021, 4770, 5035, 6042, 9063, 10070, 15105, 18126, 30210, 45315

Step-4: Factors of 90648

List of positive integer factors of 90648 that divides 90630 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1259, 2518, 3777, 5036, 7554, 10072, 11331, 15108, 22662, 30216, 45324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90630 and 90648. The biggest common factor number is the GCF number.
So the greatest common factor 90630 and 90648 is 18.

Also check out the Least Common Multiple of 90630 and 90648