What is the Greatest Common Factor of 90780 and 90793?

Greatest common factor (GCF) of 90780 and 90793 is 1.

GCF(90780,90793) = 1

We will now calculate the prime factors of 90780 and 90793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90780 and 90793.

How to find the GCF of 90780 and 90793?

We will first find the prime factorization of 90780 and 90793. After we will calculate the factors of 90780 and 90793 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 90793

Prime factors of 90793 are 90793. Prime factorization of 90793 in exponential form is:

90793 = 90793¹

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 90793

List of positive integer factors of 90793 that divides 90780 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90780 and 90793. The biggest common factor number is the GCF number.
So the greatest common factor 90780 and 90793 is 1.

Also check out the Least Common Multiple of 90780 and 90793