What is the Greatest Common Factor of 90744 and 90759?

Greatest common factor (GCF) of 90744 and 90759 is 3.

GCF(90744,90759) = 3

We will now calculate the prime factors of 90744 and 90759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90744 and 90759.

How to find the GCF of 90744 and 90759?

We will first find the prime factorization of 90744 and 90759. After we will calculate the factors of 90744 and 90759 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 90759

Prime factors of 90759 are 3, 30253. Prime factorization of 90759 in exponential form is:

90759 = 3¹ × 30253¹

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 90759

List of positive integer factors of 90759 that divides 90744 without a remainder.

1, 3, 30253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90744 and 90759. The biggest common factor number is the GCF number.
So the greatest common factor 90744 and 90759 is 3.

Also check out the Least Common Multiple of 90744 and 90759