What is the Greatest Common Factor of 90420 and 90430?

Greatest common factor (GCF) of 90420 and 90430 is 10.

GCF(90420,90430) = 10

We will now calculate the prime factors of 90420 and 90430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90420 and 90430.

How to find the GCF of 90420 and 90430?

We will first find the prime factorization of 90420 and 90430. After we will calculate the factors of 90420 and 90430 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 90430

Prime factors of 90430 are 2, 5, 9043. Prime factorization of 90430 in exponential form is:

90430 = 2¹ × 5¹ × 9043¹

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 90430

List of positive integer factors of 90430 that divides 90420 without a remainder.

1, 2, 5, 10, 9043, 18086, 45215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90420 and 90430. The biggest common factor number is the GCF number.
So the greatest common factor 90420 and 90430 is 10.

Also check out the Least Common Multiple of 90420 and 90430