What is the Greatest Common Factor of 90420 and 90438?

Greatest common factor (GCF) of 90420 and 90438 is 6.

GCF(90420,90438) = 6

We will now calculate the prime factors of 90420 and 90438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90420 and 90438.

How to find the GCF of 90420 and 90438?

We will first find the prime factorization of 90420 and 90438. After we will calculate the factors of 90420 and 90438 and find the biggest common factor number .

Step-1: Prime Factorization of 90420

Prime factors of 90420 are 2, 3, 5, 11, 137. Prime factorization of 90420 in exponential form is:

90420 = 2² × 3¹ × 5¹ × 11¹ × 137¹

Step-2: Prime Factorization of 90438

Prime factors of 90438 are 2, 3, 15073. Prime factorization of 90438 in exponential form is:

90438 = 2¹ × 3¹ × 15073¹

Step-3: Factors of 90420

List of positive integer factors of 90420 that divides 90420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 137, 165, 220, 274, 330, 411, 548, 660, 685, 822, 1370, 1507, 1644, 2055, 2740, 3014, 4110, 4521, 6028, 7535, 8220, 9042, 15070, 18084, 22605, 30140, 45210

Step-4: Factors of 90438

List of positive integer factors of 90438 that divides 90420 without a remainder.

1, 2, 3, 6, 15073, 30146, 45219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90420 and 90438. The biggest common factor number is the GCF number.
So the greatest common factor 90420 and 90438 is 6.

Also check out the Least Common Multiple of 90420 and 90438