What is the Greatest Common Factor of 90782 and 90801?

Greatest common factor (GCF) of 90782 and 90801 is 19.

GCF(90782,90801) = 19

We will now calculate the prime factors of 90782 and 90801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90782 and 90801.

How to find the GCF of 90782 and 90801?

We will first find the prime factorization of 90782 and 90801. After we will calculate the factors of 90782 and 90801 and find the biggest common factor number .

Step-1: Prime Factorization of 90782

Prime factors of 90782 are 2, 19, 2389. Prime factorization of 90782 in exponential form is:

90782 = 2¹ × 19¹ × 2389¹

Step-2: 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-3: Factors of 90782

List of positive integer factors of 90782 that divides 90782 without a remainder.

1, 2, 19, 38, 2389, 4778, 45391

Step-4: Factors of 90801

List of positive integer factors of 90801 that divides 90782 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90782 and 90801. The biggest common factor number is the GCF number.
So the greatest common factor 90782 and 90801 is 19.

Also check out the Least Common Multiple of 90782 and 90801