What is the Greatest Common Factor of 90801 and 90820?

Greatest common factor (GCF) of 90801 and 90820 is 19.

GCF(90801,90820) = 19

We will now calculate the prime factors of 90801 and 90820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90801 and 90820.

How to find the GCF of 90801 and 90820?

We will first find the prime factorization of 90801 and 90820. After we will calculate the factors of 90801 and 90820 and find the biggest common factor number .

Step-1: Prime Factorization of 90801

Prime factors of 90801 are 3, 19, 59. Prime factorization of 90801 in exponential form is:

90801 = 3⁴ × 19¹ × 59¹

Step-2: Prime Factorization of 90820

Prime factors of 90820 are 2, 5, 19, 239. Prime factorization of 90820 in exponential form is:

90820 = 2² × 5¹ × 19¹ × 239¹

Step-3: Factors of 90801

List of positive integer factors of 90801 that divides 90801 without a remainder.

1, 3, 9, 19, 27, 57, 59, 81, 171, 177, 513, 531, 1121, 1539, 1593, 3363, 4779, 10089, 30267

Step-4: Factors of 90820

List of positive integer factors of 90820 that divides 90801 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 239, 380, 478, 956, 1195, 2390, 4541, 4780, 9082, 18164, 22705, 45410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90801 and 90820. The biggest common factor number is the GCF number.
So the greatest common factor 90801 and 90820 is 19.

Also check out the Least Common Multiple of 90801 and 90820