What is the Greatest Common Factor of 90420 and 90433?

Greatest common factor (GCF) of 90420 and 90433 is 1.

GCF(90420,90433) = 1

We will now calculate the prime factors of 90420 and 90433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90420 and 90433.

How to find the GCF of 90420 and 90433?

We will first find the prime factorization of 90420 and 90433. After we will calculate the factors of 90420 and 90433 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 90433

Prime factors of 90433 are 7, 12919. Prime factorization of 90433 in exponential form is:

90433 = 7¹ × 12919¹

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 90433

List of positive integer factors of 90433 that divides 90420 without a remainder.

1, 7, 12919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90420 and 90433. The biggest common factor number is the GCF number.
So the greatest common factor 90420 and 90433 is 1.

Also check out the Least Common Multiple of 90420 and 90433