What is the Greatest Common Factor of 90753 and 90766?

Greatest common factor (GCF) of 90753 and 90766 is 13.

GCF(90753,90766) = 13

We will now calculate the prime factors of 90753 and 90766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90753 and 90766.

How to find the GCF of 90753 and 90766?

We will first find the prime factorization of 90753 and 90766. After we will calculate the factors of 90753 and 90766 and find the biggest common factor number .

Step-1: Prime Factorization of 90753

Prime factors of 90753 are 3, 13, 179. Prime factorization of 90753 in exponential form is:

90753 = 3¹ × 13² × 179¹

Step-2: Prime Factorization of 90766

Prime factors of 90766 are 2, 13, 3491. Prime factorization of 90766 in exponential form is:

90766 = 2¹ × 13¹ × 3491¹

Step-3: Factors of 90753

List of positive integer factors of 90753 that divides 90753 without a remainder.

1, 3, 13, 39, 169, 179, 507, 537, 2327, 6981, 30251

Step-4: Factors of 90766

List of positive integer factors of 90766 that divides 90753 without a remainder.

1, 2, 13, 26, 3491, 6982, 45383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90753 and 90766. The biggest common factor number is the GCF number.
So the greatest common factor 90753 and 90766 is 13.

Also check out the Least Common Multiple of 90753 and 90766