What is the Greatest Common Factor of 90420 and 90431?

Greatest common factor (GCF) of 90420 and 90431 is 11.

GCF(90420,90431) = 11

We will now calculate the prime factors of 90420 and 90431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90420 and 90431.

How to find the GCF of 90420 and 90431?

We will first find the prime factorization of 90420 and 90431. After we will calculate the factors of 90420 and 90431 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 90431

Prime factors of 90431 are 11, 8221. Prime factorization of 90431 in exponential form is:

90431 = 11¹ × 8221¹

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 90431

List of positive integer factors of 90431 that divides 90420 without a remainder.

1, 11, 8221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90420 and 90431. The biggest common factor number is the GCF number.
So the greatest common factor 90420 and 90431 is 11.

Also check out the Least Common Multiple of 90420 and 90431