What is the Greatest Common Factor of 90780 and 90797?

Greatest common factor (GCF) of 90780 and 90797 is 17.

GCF(90780,90797) = 17

We will now calculate the prime factors of 90780 and 90797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90780 and 90797.

How to find the GCF of 90780 and 90797?

We will first find the prime factorization of 90780 and 90797. After we will calculate the factors of 90780 and 90797 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 90797

Prime factors of 90797 are 7, 17, 109. Prime factorization of 90797 in exponential form is:

90797 = 7² × 17¹ × 109¹

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 90797

List of positive integer factors of 90797 that divides 90780 without a remainder.

1, 7, 17, 49, 109, 119, 763, 833, 1853, 5341, 12971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90780 and 90797. The biggest common factor number is the GCF number.
So the greatest common factor 90780 and 90797 is 17.

Also check out the Least Common Multiple of 90780 and 90797