What is the Greatest Common Factor of 90744 and 90756?

Greatest common factor (GCF) of 90744 and 90756 is 12.

GCF(90744,90756) = 12

We will now calculate the prime factors of 90744 and 90756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90744 and 90756.

How to find the GCF of 90744 and 90756?

We will first find the prime factorization of 90744 and 90756. After we will calculate the factors of 90744 and 90756 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 90756

Prime factors of 90756 are 2, 3, 2521. Prime factorization of 90756 in exponential form is:

90756 = 2² × 3² × 2521¹

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 90756

List of positive integer factors of 90756 that divides 90744 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2521, 5042, 7563, 10084, 15126, 22689, 30252, 45378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90744 and 90756. The biggest common factor number is the GCF number.
So the greatest common factor 90744 and 90756 is 12.

Also check out the Least Common Multiple of 90744 and 90756