What is the Greatest Common Factor of 90744 and 90763?

Greatest common factor (GCF) of 90744 and 90763 is 19.

GCF(90744,90763) = 19

We will now calculate the prime factors of 90744 and 90763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90744 and 90763.

How to find the GCF of 90744 and 90763?

We will first find the prime factorization of 90744 and 90763. After we will calculate the factors of 90744 and 90763 and find the biggest common factor number .

Step-1: Prime Factorization of 90744

Prime factors of 90744 are 2, 3, 19, 199. Prime factorization of 90744 in exponential form is:

90744 = 2³ × 3¹ × 19¹ × 199¹

Step-2: Prime Factorization of 90763

Prime factors of 90763 are 17, 19, 281. Prime factorization of 90763 in exponential form is:

90763 = 17¹ × 19¹ × 281¹

Step-3: Factors of 90744

List of positive integer factors of 90744 that divides 90744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 199, 228, 398, 456, 597, 796, 1194, 1592, 2388, 3781, 4776, 7562, 11343, 15124, 22686, 30248, 45372

Step-4: Factors of 90763

List of positive integer factors of 90763 that divides 90744 without a remainder.

1, 17, 19, 281, 323, 4777, 5339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90744 and 90763. The biggest common factor number is the GCF number.
So the greatest common factor 90744 and 90763 is 19.

Also check out the Least Common Multiple of 90744 and 90763