What is the Greatest Common Factor of 90780 and 90795?

Greatest common factor (GCF) of 90780 and 90795 is 15.

GCF(90780,90795) = 15

We will now calculate the prime factors of 90780 and 90795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90780 and 90795.

How to find the GCF of 90780 and 90795?

We will first find the prime factorization of 90780 and 90795. After we will calculate the factors of 90780 and 90795 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 90795

Prime factors of 90795 are 3, 5, 6053. Prime factorization of 90795 in exponential form is:

90795 = 3¹ × 5¹ × 6053¹

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 90795

List of positive integer factors of 90795 that divides 90780 without a remainder.

1, 3, 5, 15, 6053, 18159, 30265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90780 and 90795. The biggest common factor number is the GCF number.
So the greatest common factor 90780 and 90795 is 15.

Also check out the Least Common Multiple of 90780 and 90795