What is the Greatest Common Factor of 90780 and 90800?

Greatest common factor (GCF) of 90780 and 90800 is 20.

GCF(90780,90800) = 20

We will now calculate the prime factors of 90780 and 90800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90780 and 90800.

How to find the GCF of 90780 and 90800?

We will first find the prime factorization of 90780 and 90800. After we will calculate the factors of 90780 and 90800 and find the biggest common factor number .

Step-1: Prime Factorization of 90780

Prime factors of 90780 are 2, 3, 5, 17, 89. Prime factorization of 90780 in exponential form is:

90780 = 2² × 3¹ × 5¹ × 17¹ × 89¹

Step-2: Prime Factorization of 90800

Prime factors of 90800 are 2, 5, 227. Prime factorization of 90800 in exponential form is:

90800 = 2⁴ × 5² × 227¹

Step-3: Factors of 90780

List of positive integer factors of 90780 that divides 90780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 89, 102, 170, 178, 204, 255, 267, 340, 356, 445, 510, 534, 890, 1020, 1068, 1335, 1513, 1780, 2670, 3026, 4539, 5340, 6052, 7565, 9078, 15130, 18156, 22695, 30260, 45390

Step-4: Factors of 90800

List of positive integer factors of 90800 that divides 90780 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 227, 400, 454, 908, 1135, 1816, 2270, 3632, 4540, 5675, 9080, 11350, 18160, 22700, 45400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90780 and 90800. The biggest common factor number is the GCF number.
So the greatest common factor 90780 and 90800 is 20.

Also check out the Least Common Multiple of 90780 and 90800